Pith Number

pith:VFPXRNMY

pith:2019:VFPXRNMYEL3KSTU5KR54SGAQJR

not attested not anchored not stored refs pending

The random strategy in Maker-Breaker graph minor games

Ander Lamaison

arxiv:1907.04804 v1 · 2019-07-10 · 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{VFPXRNMYEL3KSTU5KR54SGAQJR}

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	2026-05-17T23:40:56.683910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a95f78b59822f6a94e9d547bc918104c5824fbb8dae2e6fd110c919b626ccaef

Aliases

arxiv: 1907.04804 · arxiv_version: 1907.04804v1 · doi: 10.48550/arxiv.1907.04804 · pith_short_12: VFPXRNMYEL3K · pith_short_16: VFPXRNMYEL3KSTU5 · pith_short_8: VFPXRNMY

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/VFPXRNMYEL3KSTU5KR54SGAQJR \
  | 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: a95f78b59822f6a94e9d547bc918104c5824fbb8dae2e6fd110c919b626ccaef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea2d8249107084741f98717c5a7bec53fa8f7694be7bc2fba6b1ada75b2dadb8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-10T15:53:05Z",
    "title_canon_sha256": "c622f10dd6fea2beedca20838d597e09e0477ba83a0cd361041cfb8210d2085f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04804",
    "kind": "arxiv",
    "version": 1
  }
}