Pith Number

pith:MHLHAQSS

pith:2015:MHLHAQSS4DZLZ7Q7P2EKYH53TV

not attested not anchored not stored refs pending

$A$-Hypergeometric Distributions and Newton Polytopes

Akimichi Takemura, Nobuki Takayama, Satoshi Kuriki

arxiv:1510.02269 v2 · 2015-10-08 · math.CA · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHLHAQSS4DZLZ7Q7P2EKYH53TV}

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.

Receipt and verification

First computed	2026-05-18T01:27:07.289155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61d6704252e0f2bcfe1f7e88ac1fbb9d55e75f081e4a1515acb013068c75cc40

Aliases

arxiv: 1510.02269 · arxiv_version: 1510.02269v2 · doi: 10.48550/arxiv.1510.02269 · pith_short_12: MHLHAQSS4DZL · pith_short_16: MHLHAQSS4DZLZ7Q7 · pith_short_8: MHLHAQSS

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/MHLHAQSS4DZLZ7Q7P2EKYH53TV \
  | 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: 61d6704252e0f2bcfe1f7e88ac1fbb9d55e75f081e4a1515acb013068c75cc40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4a441f1f8dd0e2b714b6e31c73b1864afd6b42937ebf4831abec9408969e321",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-08T10:15:19Z",
    "title_canon_sha256": "87daa93f123771acd49f9cf8b915e42d2acd2e6176f3cad7e28fc5541cb4652f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02269",
    "kind": "arxiv",
    "version": 2
  }
}