Pith Number

pith:TGGAYFML

pith:2012:TGGAYFMLNUCQN2ZHEGBCSZIDLT

not attested not anchored not stored refs pending

Assembling crystals of type A

Alexander V. Karzanov, Gleb A. Koshevoy, Vladimir I. Danilov

arxiv:1212.5771 v1 · 2012-12-23 · 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{TGGAYFMLNUCQN2ZHEGBCSZIDLT}

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	2026-05-18T03:37:51.416896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

998c0c158b6d0506eb2721822965035cc1bd1ae408b26956a39104235ef0224e

Aliases

arxiv: 1212.5771 · arxiv_version: 1212.5771v1 · doi: 10.48550/arxiv.1212.5771 · pith_short_12: TGGAYFMLNUCQ · pith_short_16: TGGAYFMLNUCQN2ZH · pith_short_8: TGGAYFML

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/TGGAYFMLNUCQN2ZHEGBCSZIDLT \
  | 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: 998c0c158b6d0506eb2721822965035cc1bd1ae408b26956a39104235ef0224e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9dcd28d4d83dfaad7496a9f71fe70735f5fe430b7ded0cdfe9135c528b8164f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-23T08:12:09Z",
    "title_canon_sha256": "3490e9649ef172ecd875e31f84de85b641331a4333a076e40ed52e39644add34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5771",
    "kind": "arxiv",
    "version": 1
  }
}