Pith Number

pith:VXB4QTTR

pith:2012:VXB4QTTRHNLOCXPG66ARCCGDNA

not attested not anchored not stored refs pending

Some Results on Lagrangians of Hypergraphs

Cheng Zhao, Qingsong Tang, Xiangde Zhang, Yuejian Peng

arxiv:1211.7057 v1 · 2012-11-29 · 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{VXB4QTTRHNLOCXPG66ARCCGDNA}

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	2026-05-18T03:39:41.143816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adc3c84e713b56e15de6f7811108c36828e35ddc8175ef22276b1341ebe51b9e

Aliases

arxiv: 1211.7057 · arxiv_version: 1211.7057v1 · doi: 10.48550/arxiv.1211.7057 · pith_short_12: VXB4QTTRHNLO · pith_short_16: VXB4QTTRHNLOCXPG · pith_short_8: VXB4QTTR

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/VXB4QTTRHNLOCXPG66ARCCGDNA \
  | 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: adc3c84e713b56e15de6f7811108c36828e35ddc8175ef22276b1341ebe51b9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af74ec8f3a14165fcd2250288690835564d14157beeca0b8ff104a0c27c75ad6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-29T01:19:07Z",
    "title_canon_sha256": "aad6a07638f1292d83108324f2f22ffaf5cb6e5388c254bbb8483572bd145cdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7057",
    "kind": "arxiv",
    "version": 1
  }
}