Pith Number

pith:LNE7G4UO

pith:2012:LNE7G4UOCNEUOA3CITR72V6GU4

not attested not anchored not stored refs pending

Subexponential estimations in Shirshov's height theorem (in English)

Alexei Belov, Mikhail Kharitonov

arxiv:1207.2987 v1 · 2012-07-12 · math.RA · 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{LNE7G4UOCNEUOA3CITR72V6GU4}

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	2026-05-18T00:29:06.124553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b49f3728e134947036244e3fd57c6a716b2cfcc6a76ce9b18890626e328f3cd

Aliases

arxiv: 1207.2987 · arxiv_version: 1207.2987v1 · doi: 10.48550/arxiv.1207.2987 · pith_short_12: LNE7G4UOCNEU · pith_short_16: LNE7G4UOCNEUOA3C · pith_short_8: LNE7G4UO

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/LNE7G4UOCNEUOA3CITR72V6GU4 \
  | 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: 5b49f3728e134947036244e3fd57c6a716b2cfcc6a76ce9b18890626e328f3cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cd68e159646f0831d57809039372cea5b8345613e76a1ce1e7386b681138142",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-07-12T14:54:35Z",
    "title_canon_sha256": "33307aad7d8a2b645b945b3b9bd0c21a32e7da4d708ccc39757dc295f518f917"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2987",
    "kind": "arxiv",
    "version": 1
  }
}