Pith Number

pith:QYNBLC2B

pith:2017:QYNBLC2B3NA3LL3HOYNQZQCLUC

not attested not anchored not stored refs pending

One-dimensional, forward-forward mean-field games with congestion

Diogo Gomes, Marc Sedjro

arxiv:1703.10029 v1 · 2017-03-29 · 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{QYNBLC2B3NA3LL3HOYNQZQCLUC}

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	2026-05-18T00:47:38.791399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

861a158b41db41b5af67761b0cc04ba096378ca55db69fb4c37a531850d4e082

Aliases

arxiv: 1703.10029 · arxiv_version: 1703.10029v1 · doi: 10.48550/arxiv.1703.10029 · pith_short_12: QYNBLC2B3NA3 · pith_short_16: QYNBLC2B3NA3LL3H · pith_short_8: QYNBLC2B

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/QYNBLC2B3NA3LL3HOYNQZQCLUC \
  | 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: 861a158b41db41b5af67761b0cc04ba096378ca55db69fb4c37a531850d4e082

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef64b1fcb8e2d4fa9f26dad3c993ab60cad67cc818a5c01a598116c3b630b6fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-29T13:39:54Z",
    "title_canon_sha256": "ea856833e7d06e64b544815c0fbb40a650d352c6a1cdf068b83f43e0c8074b85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10029",
    "kind": "arxiv",
    "version": 1
  }
}