Pith Number

pith:A62V2P6K

pith:2021:A62V2P6KEOCFURUKTHVZ57RYRN

not attested not anchored not stored refs pending

Partisan Combinatorial Game of Edge and Vertex Removal on Graphs

Devon Vukovich, Nathan Shank

arxiv:2101.01630 v1 · 2021-01-05 · 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{A62V2P6KEOCFURUKTHVZ57RYRN}

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	2026-07-05T02:04:51.730008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07b55d3fca23845a468a99eb9efe388b5315a3c0f9b8e4e010a9eb3c87a5296a

Aliases

arxiv: 2101.01630 · arxiv_version: 2101.01630v1 · doi: 10.48550/arxiv.2101.01630 · pith_short_12: A62V2P6KEOCF · pith_short_16: A62V2P6KEOCFURUK · pith_short_8: A62V2P6K

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/A62V2P6KEOCFURUKTHVZ57RYRN \
  | 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: 07b55d3fca23845a468a99eb9efe388b5315a3c0f9b8e4e010a9eb3c87a5296a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "217667376f1bdf4aa510df8aaabd453ae2972d9bc52a6a9cb1781a4a505a5adb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-01-05T16:28:03Z",
    "title_canon_sha256": "da652aa098c6e905edc945d854b4013438d99cf021479cabb0c9f73691ea762e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.01630",
    "kind": "arxiv",
    "version": 1
  }
}