Pith Number

pith:WO7B4MHH

pith:2013:WO7B4MHHNSHY7TUD7LSXIMCZSB

not attested not anchored not stored refs pending

Repeated columns and an old chestnut

Linyuan Lu, Richard P. Anstee

arxiv:1305.0603 v1 · 2013-05-03 · 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{WO7B4MHHNSHY7TUD7LSXIMCZSB}

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	2026-05-18T03:26:33.233844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3be1e30e76c8f8fce83fae5743059905741891214ea179ac1ba41f14e7d81fb

Aliases

arxiv: 1305.0603 · arxiv_version: 1305.0603v1 · doi: 10.48550/arxiv.1305.0603 · pith_short_12: WO7B4MHHNSHY · pith_short_16: WO7B4MHHNSHY7TUD · pith_short_8: WO7B4MHH

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/WO7B4MHHNSHY7TUD7LSXIMCZSB \
  | 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: b3be1e30e76c8f8fce83fae5743059905741891214ea179ac1ba41f14e7d81fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bc7cb17e2a7fd8a05d11df1d056e42608757ee95cadd07fc55e31a7871c9a9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-03T00:48:20Z",
    "title_canon_sha256": "cebee6570bde050dcd0adf543f6d796c6ec4994049254175d1758d67542466d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0603",
    "kind": "arxiv",
    "version": 1
  }
}