Pith Number

pith:46QNN4PU

pith:2013:46QNN4PUCXOUJIF6JJNL6BBZMV

not attested not anchored not stored refs pending

General removal lemma

Fedor Petrov

arxiv:1309.3795 v1 · 2013-09-15 · math.CO · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{46QNN4PUCXOUJIF6JJNL6BBZMV}

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	2026-05-18T03:13:20.521162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7a0d6f1f415dd44a0be4a5abf0439654b460e1d0afd7256885d13676d964830

Aliases

arxiv: 1309.3795 · arxiv_version: 1309.3795v1 · doi: 10.48550/arxiv.1309.3795 · pith_short_12: 46QNN4PUCXOU · pith_short_16: 46QNN4PUCXOUJIF6 · pith_short_8: 46QNN4PU

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/46QNN4PUCXOUJIF6JJNL6BBZMV \
  | 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: e7a0d6f1f415dd44a0be4a5abf0439654b460e1d0afd7256885d13676d964830

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05f34d226d36d7b480e0b0cd11476cb551236641ace43b7da5b596379c9701cb",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-15T20:42:27Z",
    "title_canon_sha256": "1094d37855b89d5fdcaffe2dcab38824dd7c45cfde0ede561ff54aab8a10cd23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3795",
    "kind": "arxiv",
    "version": 1
  }
}