Pith Number

pith:Q3DW4ETJ

pith:2015:Q3DW4ETJYYY6JKFILBKEHBVSYU

not attested not anchored not stored refs pending

Anti-magic labeling of regular graphs

Feihuang Chang, Xuding Zhu, Yu-Chang Liang, Zhishi Pan

arxiv:1505.07688 v1 · 2015-05-28 · 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{Q3DW4ETJYYY6JKFILBKEHBVSYU}

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	2026-05-18T02:00:56.136434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86c76e1269c631e4a8a858544386b2c51da3269e954d31e97f945b101f81151e

Aliases

arxiv: 1505.07688 · arxiv_version: 1505.07688v1 · doi: 10.48550/arxiv.1505.07688 · pith_short_12: Q3DW4ETJYYY6 · pith_short_16: Q3DW4ETJYYY6JKFI · pith_short_8: Q3DW4ETJ

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/Q3DW4ETJYYY6JKFILBKEHBVSYU \
  | 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: 86c76e1269c631e4a8a858544386b2c51da3269e954d31e97f945b101f81151e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59492a8def52f74d74853dc8e8d2b6445223f3a00a39e550b6126e883571c572",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-28T13:38:40Z",
    "title_canon_sha256": "568c5c6d801380d07bb49d82a770b094ec8a1296f2d33476ce2b9006378fc741"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07688",
    "kind": "arxiv",
    "version": 1
  }
}