Pith Number

pith:Y77LJIUT

pith:2014:Y77LJIUTUOTOQZ24WQFB2RZHAK

not attested not anchored not stored refs pending

Estimates in Shirshov height theorem

Mikhail Kharitonov

arxiv:1411.7435 v1 · 2014-11-27 · 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{Y77LJIUTUOTOQZ24WQFB2RZHAK}

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	2026-05-18T02:32:38.018871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7feb4a293a3a6e8675cb40a1d472702a2876fce700b79dc0e5d9bbb70347daa

Aliases

arxiv: 1411.7435 · arxiv_version: 1411.7435v1 · doi: 10.48550/arxiv.1411.7435 · pith_short_12: Y77LJIUTUOTO · pith_short_16: Y77LJIUTUOTOQZ24 · pith_short_8: Y77LJIUT

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/Y77LJIUTUOTOQZ24WQFB2RZHAK \
  | 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: c7feb4a293a3a6e8675cb40a1d472702a2876fce700b79dc0e5d9bbb70347daa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f07f630d63b9f1a1127561c3f5f86dce221e4064827416e3be1a987f7cfb6e3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-11-27T00:43:04Z",
    "title_canon_sha256": "b08281359e6962f09d4ee804bde4a0fc1104aa83e7c71590b9cdf1dbea933434"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7435",
    "kind": "arxiv",
    "version": 1
  }
}