Pith Number

pith:BPISTSYZ

pith:2019:BPISTSYZ3RKJKHHM3CYEIJYZTP

not attested not anchored not stored refs pending

Totalitarian random Tug-of-War games in graphs

Fernando Charro, Marcos Ant\'on, Peiyong Wang

arxiv:1907.09219 v1 · 2019-07-22 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BPISTSYZ3RKJKHHM3CYEIJYZTP}

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	2026-05-17T23:39:59.805065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bd129cb19dc54951cecd8b04427199bf7e9d2cb81807f397f4ea036cc7e6414

Aliases

arxiv: 1907.09219 · arxiv_version: 1907.09219v1 · doi: 10.48550/arxiv.1907.09219 · pith_short_12: BPISTSYZ3RKJ · pith_short_16: BPISTSYZ3RKJKHHM · pith_short_8: BPISTSYZ

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/BPISTSYZ3RKJKHHM3CYEIJYZTP \
  | 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: 0bd129cb19dc54951cecd8b04427199bf7e9d2cb81807f397f4ea036cc7e6414

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3b075b8977790e12ed939433fb7614531459449d4699e131beb9dcbc3675d2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-22T10:19:49Z",
    "title_canon_sha256": "e6f405706059ee18e3ca8f599c037ec04e0471589697511cefa9eddc328c14ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09219",
    "kind": "arxiv",
    "version": 1
  }
}