Pith Number

pith:ISXEGHWR

pith:2021:ISXEGHWRNBLLABBJJIKO5SRQSI

not attested not anchored not stored refs pending

The m=2 amplituhedron and the hypersimplex: signs, clusters, triangulations, Eulerian numbers

Lauren Williams, Matteo Parisi, Melissa Sherman-Bennett

arxiv:2104.08254 v4 · 2021-04-16 · math.CO · hep-th · math-ph · math.AG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ISXEGHWRNBLLABBJJIKO5SRQSI}

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

Multi-Loop Negative Geometries

Receipt and verification

First computed	2026-07-05T05:34:41.342735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44ae431ed16856b004294a14eeca30923daee33a78dbd163549c1865df13e608

Aliases

arxiv: 2104.08254 · arxiv_version: 2104.08254v4 · doi: 10.48550/arxiv.2104.08254 · pith_short_12: ISXEGHWRNBLL · pith_short_16: ISXEGHWRNBLLABBJ · pith_short_8: ISXEGHWR

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/ISXEGHWRNBLLABBJJIKO5SRQSI \
  | 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: 44ae431ed16856b004294a14eeca30923daee33a78dbd163549c1865df13e608

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bad88a23c101abb949846384f2ffe5f52d19f7135e7b44afe5e1abbd94c37d1",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-04-16T17:37:05Z",
    "title_canon_sha256": "4d8692174eb61429b71645680509a56788f8cab4f8c381858bc7c05bb36c5227"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.08254",
    "kind": "arxiv",
    "version": 4
  }
}