Pith Number

pith:M2L6UXIL

pith:2013:M2L6UXILYBT2EGQH3TKZITBOGB

not attested not anchored not stored refs pending

Properties of Full-Flag Johnson Graphs

Irving Dai, Matt Tanzer, Michael Greenberg, Noah Schoem

arxiv:1301.1131 v2 · 2013-01-07 · 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{M2L6UXILYBT2EGQH3TKZITBOGB}

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	2026-05-18T03:13:21.676409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6697ea5d0bc067a21a07dcd5944c2e3045a5adf3eaffda50fc001463c082dcb3

Aliases

arxiv: 1301.1131 · arxiv_version: 1301.1131v2 · doi: 10.48550/arxiv.1301.1131 · pith_short_12: M2L6UXILYBT2 · pith_short_16: M2L6UXILYBT2EGQH · pith_short_8: M2L6UXIL

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/M2L6UXILYBT2EGQH3TKZITBOGB \
  | 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: 6697ea5d0bc067a21a07dcd5944c2e3045a5adf3eaffda50fc001463c082dcb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a1c1ca852ac40092829dc0ae409a01a9453d1a33f4cac78759e797cc8f8ecdd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-07T09:11:57Z",
    "title_canon_sha256": "c993c3799a7998332000a7e335c7f9da204a540f2ee2fdc0ba15193a2ecb4b66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1131",
    "kind": "arxiv",
    "version": 2
  }
}