Pith Number

pith:QX3FXVHY

pith:2013:QX3FXVHYO6YOUYMLFHR3UVHWDL

not attested not anchored not stored refs pending

Fooling-sets and rank in nonzero characteristic (extended abstract)

Dirk Oliver Theis, Mirjam Friesen

arxiv:1305.2468 v1 · 2013-05-02 · 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{QX3FXVHYO6YOUYMLFHR3UVHWDL}

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	2026-05-18T03:25:57.789760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85f65bd4f877b0ea618b29e3ba54f61ae3ecea61a90780121060e366c7056a22

Aliases

arxiv: 1305.2468 · arxiv_version: 1305.2468v1 · doi: 10.48550/arxiv.1305.2468 · pith_short_12: QX3FXVHYO6YO · pith_short_16: QX3FXVHYO6YOUYML · pith_short_8: QX3FXVHY

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/QX3FXVHYO6YOUYMLFHR3UVHWDL \
  | 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: 85f65bd4f877b0ea618b29e3ba54f61ae3ecea61a90780121060e366c7056a22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9cfa7e995729577f2019bbc1c2169782a435acf1f2fac717aca6062e89ff211",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-02T07:28:13Z",
    "title_canon_sha256": "80d617d8c9e9d5f7b9be4bcaa0888914e71e775ec93c5ec8717460c508d8147b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2468",
    "kind": "arxiv",
    "version": 1
  }
}