Pith Number

pith:GT76PZSI

pith:2013:GT76PZSINOEA3K5EIXF6RH52V4

not attested not anchored not stored refs pending

Divided difference operators on polytopes

Valentina Kiritchenko

arxiv:1307.7234 v1 · 2013-07-27 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GT76PZSINOEA3K5EIXF6RH52V4}

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	2026-05-17T23:54:37.220044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34ffe7e6486b880daba445cbe89fbaaf020009f8f17e0fb6d2012f9f0402e43b

Aliases

arxiv: 1307.7234 · arxiv_version: 1307.7234v1 · doi: 10.48550/arxiv.1307.7234 · pith_short_12: GT76PZSINOEA · pith_short_16: GT76PZSINOEA3K5E · pith_short_8: GT76PZSI

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/GT76PZSINOEA3K5EIXF6RH52V4 \
  | 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: 34ffe7e6486b880daba445cbe89fbaaf020009f8f17e0fb6d2012f9f0402e43b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8f37a4a83e7e421058774a3cca3138e8d62582fff6d3ac49a1ee6e5be0cbd2a",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-27T08:10:37Z",
    "title_canon_sha256": "e49fcfd88cef649a42269646c19fd424d99cca96510947608855f309a73c961b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7234",
    "kind": "arxiv",
    "version": 1
  }
}