Pith Number

pith:GRKBLZ3I

pith:2013:GRKBLZ3IZ7ZMJJ2GS7XSJVINN2

not attested not anchored not stored refs pending

On a game theoretic cardinality bound

Angelo Bella, Leandro F. Aurichi

arxiv:1310.0409 v3 · 2013-10-01 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRKBLZ3IZ7ZMJJ2GS7XSJVINN2}

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	2026-05-18T02:52:14.317357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

345415e768cff2c4a74697ef24d50d6ebfcccabee6c32ef4edad782aaec84307

Aliases

arxiv: 1310.0409 · arxiv_version: 1310.0409v3 · doi: 10.48550/arxiv.1310.0409 · pith_short_12: GRKBLZ3IZ7ZM · pith_short_16: GRKBLZ3IZ7ZMJJ2G · pith_short_8: GRKBLZ3I

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/GRKBLZ3IZ7ZMJJ2GS7XSJVINN2 \
  | 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: 345415e768cff2c4a74697ef24d50d6ebfcccabee6c32ef4edad782aaec84307

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58ab8a54c69882dc1f9d11d221bfa014d3240cdc716eb46160c724c6db176bfe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2013-10-01T17:45:32Z",
    "title_canon_sha256": "0262014e9239c7d826f7cccdfb48131d90fcfedf742c9a8fc91309aaf0f91d71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0409",
    "kind": "arxiv",
    "version": 3
  }
}