Pith Number

pith:NK63THIA

pith:2016:NK63THIAEO5GWET3EQTQ4JRGNM

not attested not anchored not stored refs pending

Bose Gases at Positive Temperature and Non-Linear Gibbs Measures

Mathieu Lewin (CEREMADE), Nicolas Rougerie (LPMMC), Phan Th\`anh Nam (IST Austria)

arxiv:1602.05166 v1 · 2016-02-16 · math-ph · cond-mat.quant-gas · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NK63THIAEO5GWET3EQTQ4JRGNM}

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	2026-05-18T01:20:37.416885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6abdb99d0023ba6b127b24270e26266b3864eb8d0c3f3f88f42f3004e9431eb9

Aliases

arxiv: 1602.05166 · arxiv_version: 1602.05166v1 · doi: 10.48550/arxiv.1602.05166 · pith_short_12: NK63THIAEO5G · pith_short_16: NK63THIAEO5GWET3 · pith_short_8: NK63THIA

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/NK63THIAEO5GWET3EQTQ4JRGNM \
  | 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: 6abdb99d0023ba6b127b24270e26266b3864eb8d0c3f3f88f42f3004e9431eb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6738025b409aab99df32dda5c35d62f42ab3974d6ac4b373415b293159317ced",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-02-16T20:23:23Z",
    "title_canon_sha256": "b5d711bd5f2a9ec1dc78a687d3e26e383b1a0d372717daebe48f79dd606740cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05166",
    "kind": "arxiv",
    "version": 1
  }
}