Pith Number

pith:QHAS3HKX

pith:2014:QHAS3HKXP3CP7EIGXFXPA2QAOS

not attested not anchored not stored refs pending

F-Saturation Games

Ago-Erik Riet, Jonathan D. Lee

arxiv:1406.1500 v1 · 2014-06-05 · 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{QHAS3HKXP3CP7EIGXFXPA2QAOS}

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	2026-05-18T02:50:23.150402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81c12d9d577ec4ff9106b96ef06a0074a190a67ed17666f9182e736bc5105076

Aliases

arxiv: 1406.1500 · arxiv_version: 1406.1500v1 · doi: 10.48550/arxiv.1406.1500 · pith_short_12: QHAS3HKXP3CP · pith_short_16: QHAS3HKXP3CP7EIG · pith_short_8: QHAS3HKX

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/QHAS3HKXP3CP7EIGXFXPA2QAOS \
  | 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: 81c12d9d577ec4ff9106b96ef06a0074a190a67ed17666f9182e736bc5105076

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a436c76bf5c244038c477bdbcd575e2c032be2b7982eb4e21aa92eb7700f2ddd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-05T19:59:35Z",
    "title_canon_sha256": "85a323832bdf58ebb3a655111a0b841de2a5a96b762461e211f46738eb7bc5ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.1500",
    "kind": "arxiv",
    "version": 1
  }
}