Pith Number

pith:CPBLVTE5

pith:2015:CPBLVTE52OQOBRNQ77DK6SDJKX

not attested not anchored not stored refs pending

An [imaginary time] Schr\"odinger approach to mean field games

Denis Ullmo, Igor Swiecicki, Thierry Gobron

arxiv:1511.00602 v2 · 2015-10-22 · physics.soc-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CPBLVTE52OQOBRNQ77DK6SDJKX}

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	2026-05-18T01:18:09.139659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13c2bacc9dd3a0e0c5b0ffc6af486955f5baa093cb18882e1a180fdb029cffd0

Aliases

arxiv: 1511.00602 · arxiv_version: 1511.00602v2 · doi: 10.48550/arxiv.1511.00602 · pith_short_12: CPBLVTE52OQO · pith_short_16: CPBLVTE52OQOBRNQ · pith_short_8: CPBLVTE5

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/CPBLVTE52OQOBRNQ77DK6SDJKX \
  | 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: 13c2bacc9dd3a0e0c5b0ffc6af486955f5baa093cb18882e1a180fdb029cffd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f185a6b95b2e484ae68748ee5a496cb396f736c256fb7af8b09a0fcf9d46446",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-10-22T11:39:43Z",
    "title_canon_sha256": "6502e093219858d29e9f48bcdbf3f3a522c0f8236c47dd6481c79111fa54ee1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00602",
    "kind": "arxiv",
    "version": 2
  }
}