Pith Number

pith:74FTPXDD

pith:2021:74FTPXDDDL75275ZLVQYGKAVWX

not attested not anchored not stored refs pending

Planarity in Generalized Scattering Amplitudes: PK Polytope, Generalized Root Systems and Worldsheet Associahedra

Nick Early

arxiv:2106.07142 v2 · 2021-06-14 · math.CO · hep-th · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{74FTPXDDDL75275ZLVQYGKAVWX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

3 papers in Pith

Classification of prime modules of quantum affine algebras corresponding to 2-column tableaux

Scaffolds for Higher Tropical Grassmannians: Foundations

Noncrossing Duality and the Geometry of Positive Tropical Linear Spaces

Receipt and verification

First computed	2026-07-05T04:58:52.340584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff0b37dc631affdd7fb95d61832815b5f65106c001ac65c88762235191fdd738

Aliases

arxiv: 2106.07142 · arxiv_version: 2106.07142v2 · doi: 10.48550/arxiv.2106.07142 · pith_short_12: 74FTPXDDDL75 · pith_short_16: 74FTPXDDDL75275Z · pith_short_8: 74FTPXDD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/74FTPXDDDL75275ZLVQYGKAVWX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ff0b37dc631affdd7fb95d61832815b5f65106c001ac65c88762235191fdd738

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f0ab0df4e44e82b3eff96b0a8177c55714e53395e3d00b5fe133a947d01ced2",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-06-14T02:46:04Z",
    "title_canon_sha256": "f87d007fb45b43c2bb7ca1341abf58012a8937327ed122114e2c7579834bf5d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.07142",
    "kind": "arxiv",
    "version": 2
  }
}