Pith Number

pith:SPIECQ4S

pith:2016:SPIECQ4S4JOPULZRY5QAGUZX37

not attested not anchored not stored refs pending

Strong solutions for time-dependent mean field games with non-separable Hamiltonians

David M. Ambrose

arxiv:1605.01745 v1 · 2016-05-05 · 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{SPIECQ4S4JOPULZRY5QAGUZX37}

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	2026-05-18T01:15:31.666440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93d0414392e25cfa2f31c760035337dfcc0d643c9991e7bae554a825416e7ed7

Aliases

arxiv: 1605.01745 · arxiv_version: 1605.01745v1 · doi: 10.48550/arxiv.1605.01745 · pith_short_12: SPIECQ4S4JOP · pith_short_16: SPIECQ4S4JOPULZR · pith_short_8: SPIECQ4S

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/SPIECQ4S4JOPULZRY5QAGUZX37 \
  | 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: 93d0414392e25cfa2f31c760035337dfcc0d643c9991e7bae554a825416e7ed7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df08caa55bfa110ad6412690aaf3af90d3e9ab52e9d066c31d729f1f59fcd65f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-05T20:12:20Z",
    "title_canon_sha256": "244c8e830be36fb837407b0d7f729ca5dba968e82aa2e939fac501ede096376b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01745",
    "kind": "arxiv",
    "version": 1
  }
}