Pith Number

pith:M6LG5BTR

pith:2013:M6LG5BTRNXJAPIHVDS3E7WSJE3

not attested not anchored not stored refs pending

1,2,3-Conjecture and 1,2-Conjecture for Sparse Graphs

Daniel W. Cranston, Douglas B. West, Sogol Jahanbekam

arxiv:1303.3198 v2 · 2013-03-13 · 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{M6LG5BTRNXJAPIHVDS3E7WSJE3}

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	2026-05-18T01:35:53.020374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67966e86716dd207a0f51cb64fda4926d6b0b96df6e9136a60fd38c746a02a84

Aliases

arxiv: 1303.3198 · arxiv_version: 1303.3198v2 · doi: 10.48550/arxiv.1303.3198 · pith_short_12: M6LG5BTRNXJA · pith_short_16: M6LG5BTRNXJAPIHV · pith_short_8: M6LG5BTR

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/M6LG5BTRNXJAPIHVDS3E7WSJE3 \
  | 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: 67966e86716dd207a0f51cb64fda4926d6b0b96df6e9136a60fd38c746a02a84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eb7e92679cbb93fbf76ae44c81de682056629c5b3adebbe301c17197f69c119",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-13T16:04:43Z",
    "title_canon_sha256": "1e3474ab223ec4c3a493be4b5586cd75801993dbd18171f623bed173ea21ec40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3198",
    "kind": "arxiv",
    "version": 2
  }
}