Pith Number

pith:A5IMPEBX

pith:2016:A5IMPEBXAV2D4Y5JCYWSGXADEI

not attested not anchored not stored refs pending

Singular mean-filed games

Diogo A. Gomes, Edgard A. Pimentel, H\'ector S\'anchez-Morgado, Marco Cirant

arxiv:1611.07187 v1 · 2016-11-22 · 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{A5IMPEBXAV2D4Y5JCYWSGXADEI}

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	2026-05-18T00:57:24.656823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0750c7903705743e63a9162d235c032222d3db7b5461a43d9f96b890ec21287a

Aliases

arxiv: 1611.07187 · arxiv_version: 1611.07187v1 · doi: 10.48550/arxiv.1611.07187 · pith_short_12: A5IMPEBXAV2D · pith_short_16: A5IMPEBXAV2D4Y5J · pith_short_8: A5IMPEBX

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/A5IMPEBXAV2D4Y5JCYWSGXADEI \
  | 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: 0750c7903705743e63a9162d235c032222d3db7b5461a43d9f96b890ec21287a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51b32f5eedb1075567ffe5554139e43d8f770079df6c77212f4f1c1f02e45e9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-22T08:16:31Z",
    "title_canon_sha256": "f51a820a9a08f6b7b9901e0f6fbbcb5f9f625607ac15ec015979f54c982240d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07187",
    "kind": "arxiv",
    "version": 1
  }
}