Pith Number

pith:DCQEJT3Z

pith:2016:DCQEJT3Z2GV3MC5AKMHXUYHLR5

not attested not anchored not stored refs pending

One-dimensional forward-forward mean-field games

Diogo Gomes, Levon Nurbekyan, Marc Sedjro

arxiv:1606.09064 v1 · 2016-06-29 · 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{DCQEJT3Z2GV3MC5AKMHXUYHLR5}

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	2026-05-18T01:11:41.792259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18a044cf79d1abb60ba0530f7a60eb8f74b0f8c3ec58ed2fe4b9cb1b1323cf1d

Aliases

arxiv: 1606.09064 · arxiv_version: 1606.09064v1 · doi: 10.48550/arxiv.1606.09064 · pith_short_12: DCQEJT3Z2GV3 · pith_short_16: DCQEJT3Z2GV3MC5A · pith_short_8: DCQEJT3Z

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/DCQEJT3Z2GV3MC5AKMHXUYHLR5 \
  | 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: 18a044cf79d1abb60ba0530f7a60eb8f74b0f8c3ec58ed2fe4b9cb1b1323cf1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f82267401345a7ce29d8fc10ff95c64c403c7c6935583bfba03f06cea6ad9ad7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-29T12:13:49Z",
    "title_canon_sha256": "40ee670c0de9be586d6cd996f25918b36307edb2fafcfc2573d1abed931769db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.09064",
    "kind": "arxiv",
    "version": 1
  }
}