Pith Number

pith:7WWLONJ5

pith:2015:7WWLONJ5A7QBFTYOTLNRXFDSEC

not attested not anchored not stored refs pending

Complete Kneser Transversals

Jonathan Chappelon (IMAG), Jorge Luis Ram\'irez Alfons\'in (IMAG), Leonardo Mart\'inez-Sandoval (IMAG), Luis Montejano, Luis Pedro Montejano (IMAG)

arxiv:1511.01315 v3 · 2015-11-04 · math.CO · cs.DM · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7WWLONJ5A7QBFTYOTLNRXFDSEC}

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	2026-05-18T01:09:11.863581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdacb7353d07e012cf0e9adb1b947220881f075127f21e6436129ae9acdcd817

Aliases

arxiv: 1511.01315 · arxiv_version: 1511.01315v3 · doi: 10.48550/arxiv.1511.01315 · pith_short_12: 7WWLONJ5A7QB · pith_short_16: 7WWLONJ5A7QBFTYO · pith_short_8: 7WWLONJ5

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/7WWLONJ5A7QBFTYOTLNRXFDSEC \
  | 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: fdacb7353d07e012cf0e9adb1b947220881f075127f21e6436129ae9acdcd817

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04d735960fdec74e63f047cace8ad61f91be028eaa4fa3f59789128b583279f5",
    "cross_cats_sorted": [
      "cs.DM",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-04T12:55:48Z",
    "title_canon_sha256": "409cfc1d50d4d7ebc0c2b95fa46ecec39852118299dcf969ed3fee5a1daa819e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01315",
    "kind": "arxiv",
    "version": 3
  }
}