Pith Number

pith:FAOO3DSD

pith:2013:FAOO3DSDOCJBMDC4AFXCOGOAA6

not attested not anchored not stored refs pending

A Heuristic for Magic and Antimagic Graph Labellings

Elaheh Vaezpour, Fran\c{c}ois Bertault, Hebert P\'erez-Ros\'es, Mirka Miller, Ramiro Feria-Puron

arxiv:1305.1880 v1 · 2013-05-08 · math.CO · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FAOO3DSDOCJBMDC4AFXCOGOAA6}

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	2026-05-18T03:26:10.964533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

281ced8e437092160c5c016e2719c0078cec0b98cf5dd0f4d36d4af449daa586

Aliases

arxiv: 1305.1880 · arxiv_version: 1305.1880v1 · doi: 10.48550/arxiv.1305.1880 · pith_short_12: FAOO3DSDOCJB · pith_short_16: FAOO3DSDOCJBMDC4 · pith_short_8: FAOO3DSD

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/FAOO3DSDOCJBMDC4AFXCOGOAA6 \
  | 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: 281ced8e437092160c5c016e2719c0078cec0b98cf5dd0f4d36d4af449daa586

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef01f5c31801a698e5b2e2fa01cf0b5eea1e2cff4f5ea5dd5b7c2b69d54a78b5",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-08T16:51:03Z",
    "title_canon_sha256": "5e396e1dcc461bf72c456da60e5be11d1ac1b1eb532db440503e102693e86b07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1880",
    "kind": "arxiv",
    "version": 1
  }
}