Pith Number

pith:ISXVDVYL

pith:2014:ISXVDVYLWFHPS5ZV3EQJRUPXKE

not attested not anchored not stored refs pending

New $\mathcal{F}$-Saturation Games on Directed Graphs

Ago-Erik Riet, Jonathan D. Lee

arxiv:1409.0565 v1 · 2014-09-01 · 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{ISXVDVYLWFHPS5ZV3EQJRUPXKE}

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	2026-05-18T02:43:46.570351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44af51d70bb14ef97735d92098d1f7511376d4ec785cc1fa53beaac837f78286

Aliases

arxiv: 1409.0565 · arxiv_version: 1409.0565v1 · doi: 10.48550/arxiv.1409.0565 · pith_short_12: ISXVDVYLWFHP · pith_short_16: ISXVDVYLWFHPS5ZV · pith_short_8: ISXVDVYL

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/ISXVDVYLWFHPS5ZV3EQJRUPXKE \
  | 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: 44af51d70bb14ef97735d92098d1f7511376d4ec785cc1fa53beaac837f78286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c496bb7d4e6bd25485c7f59f91836f6b16fd6ed6ee222510487686766e6895d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-01T21:01:42Z",
    "title_canon_sha256": "4122dd99ccfa341bc7913beca21500846d231f3a5c6ceba76e73b6be446ab6ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0565",
    "kind": "arxiv",
    "version": 1
  }
}