Pith Number

pith:IDZCROGH

pith:2017:IDZCROGHOJAEXSZAFEMI7QH2JK

not attested not anchored not stored refs pending

Long time behavior of Gross-Pitaevskii equation at positive temperature

Anne de Bouard, Arnaud Debussche, Reika Fukuizumi

arxiv:1708.01961 v2 · 2017-08-07 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IDZCROGHOJAEXSZAFEMI7QH2JK}

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	2026-05-18T00:34:28.905060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40f228b8c772404bcb2029188fc0fa4a8539b68b5ed1e432e394ab6f8a5abce2

Aliases

arxiv: 1708.01961 · arxiv_version: 1708.01961v2 · doi: 10.48550/arxiv.1708.01961 · pith_short_12: IDZCROGHOJAE · pith_short_16: IDZCROGHOJAEXSZA · pith_short_8: IDZCROGH

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/IDZCROGHOJAEXSZAFEMI7QH2JK \
  | 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: 40f228b8c772404bcb2029188fc0fa4a8539b68b5ed1e432e394ab6f8a5abce2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fd24f0465bf155252a04a2f22690feeb9969bd53fc990750284b2b9c3921378",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-07T01:58:09Z",
    "title_canon_sha256": "6eb7d6de2c7f818231ecebb1c223646d74049d431d2d533e150fb36d32c552a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01961",
    "kind": "arxiv",
    "version": 2
  }
}