Pith Number

pith:TAQAXV7A

pith:2013:TAQAXV7A6SDA5E6QBRDK27JDMN

not attested not anchored not stored refs pending

Extended deterministic mean-field games

Diogo A. Gomes, Vardan K. Voskanyan

arxiv:1305.2600 v3 · 2013-05-12 · 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{TAQAXV7A6SDA5E6QBRDK27JDMN}

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	2026-05-18T01:41:58.282177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98200bd7e0f4860e93d00c46ad7d23637702282fc8d1b8ba5af1bcc7e9cd5b2a

Aliases

arxiv: 1305.2600 · arxiv_version: 1305.2600v3 · doi: 10.48550/arxiv.1305.2600 · pith_short_12: TAQAXV7A6SDA · pith_short_16: TAQAXV7A6SDA5E6Q · pith_short_8: TAQAXV7A

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/TAQAXV7A6SDA5E6QBRDK27JDMN \
  | 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: 98200bd7e0f4860e93d00c46ad7d23637702282fc8d1b8ba5af1bcc7e9cd5b2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "888dbcf15e3cda1af5ab7b1598e559ef0226a2aee95174f0084b5b59ca2e4fb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-12T16:35:41Z",
    "title_canon_sha256": "f44c5bc4567e7308c95c6d769e75c783db5bca07fd17c2a8b53c6d8fa9d9cf6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2600",
    "kind": "arxiv",
    "version": 3
  }
}