Pith Number

pith:KNQ4SMO6

pith:2019:KNQ4SMO6AFC3XHEBFECYKQND4B

not attested not anchored not stored refs pending

Planar kinematic invariants, matroid subdivisions and generalized Feynman diagrams

Nick Early

arxiv:1912.13513 v2 · 2019-12-31 · hep-th · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KNQ4SMO6AFC3XHEBFECYKQND4B}

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

1 paper in Pith

Noncrossing Duality and the Geometry of Positive Tropical Linear Spaces

Receipt and verification

First computed	2026-07-05T00:29:21.835216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5361c931de0145bb9c8129058541a3e05bf1002ee21020204a662fd272ac923d

Aliases

arxiv: 1912.13513 · arxiv_version: 1912.13513v2 · doi: 10.48550/arxiv.1912.13513 · pith_short_12: KNQ4SMO6AFC3 · pith_short_16: KNQ4SMO6AFC3XHEB · pith_short_8: KNQ4SMO6

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/KNQ4SMO6AFC3XHEBFECYKQND4B \
  | 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: 5361c931de0145bb9c8129058541a3e05bf1002ee21020204a662fd272ac923d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f574fb2726024e57fa6d805c1c88f158d1ebb81b199804bb0b14d1855cb20270",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-12-31T18:58:09Z",
    "title_canon_sha256": "f6690de567f04b665834759866cdf2c81030eda878a0b23ec2e0c037378fcc47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.13513",
    "kind": "arxiv",
    "version": 2
  }
}