Pith Number

pith:Z73QJFFJ

pith:2021:Z73QJFFJ7LQIGVUH46CM5CCEQA

not attested not anchored not stored refs pending

The Generalized Bergman Game

Alicia Smith Reina, Benjamin Baily, Ethan Pesikoff, Faye Jackson, Henry Fleischmann, Irfan Durmi\'c, Isaac Mijares, Justine Dell, Luke Reifenberg, Steven J. Miller, Yingzi Yang

arxiv:2109.00117 v4 · 2021-08-31 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z73QJFFJ7LQIGVUH46CM5CCEQA}

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	2026-07-05T03:15:36.535888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cff70494a9fae0835687e784ce88448015417d20158eb00ca27dc86e3445b60a

Aliases

arxiv: 2109.00117 · arxiv_version: 2109.00117v4 · doi: 10.48550/arxiv.2109.00117 · pith_short_12: Z73QJFFJ7LQI · pith_short_16: Z73QJFFJ7LQIGVUH · pith_short_8: Z73QJFFJ

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/Z73QJFFJ7LQIGVUH46CM5CCEQA \
  | 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: cff70494a9fae0835687e784ce88448015417d20158eb00ca27dc86e3445b60a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7daeeffe5765a03b50412b2ce750394ca7ffdda31b95c5e7797a27cb61e69f79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-08-31T23:44:52Z",
    "title_canon_sha256": "b12b7b93dcec881d8f8b4b75cf0f6edb2561da9bf1be51428cdae07e51cb227d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.00117",
    "kind": "arxiv",
    "version": 4
  }
}