Pith Number

pith:CMC7JVQ4

pith:2011:CMC7JVQ4QL7A2SYVCLI2YTOHE4

not attested not anchored not stored refs pending

A duality principle for selection games

Katherine E. Stange, Lionel Levine, Scott Sheffield

arxiv:1110.2712 v2 · 2011-10-12 · cs.GT · 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{CMC7JVQ4QL7A2SYVCLI2YTOHE4}

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	2026-05-18T02:30:32.882452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1305f4d61c82fe0d4b1512d1ac4dc727147c9d39158e48bbeebc5aa19d43f295

Aliases

arxiv: 1110.2712 · arxiv_version: 1110.2712v2 · doi: 10.48550/arxiv.1110.2712 · pith_short_12: CMC7JVQ4QL7A · pith_short_16: CMC7JVQ4QL7A2SYV · pith_short_8: CMC7JVQ4

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/CMC7JVQ4QL7A2SYVCLI2YTOHE4 \
  | 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: 1305f4d61c82fe0d4b1512d1ac4dc727147c9d39158e48bbeebc5aa19d43f295

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddfd83c6f666616fa9d490bcc36ac12a870297e4267057d87c5368ff5b383f86",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2011-10-12T17:16:05Z",
    "title_canon_sha256": "07ebb3338d4e0618e5a5f49476b6589105f16f4cd4bc63e5a7d6f3544f5e8cb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2712",
    "kind": "arxiv",
    "version": 2
  }
}