Pith Number

pith:Z4VP63V2

pith:2019:Z4VP63V2RGQ3MFCEYAARFUKWEA

not attested not anchored not stored refs pending

Derivation of renormalized Gibbs measures from equilibrium many-body quantum Bose gases

Mathieu Lewin, Nicolas Rougerie, Phan Th\`anh Nam

arxiv:1903.01271 v2 · 2019-03-04 · math-ph · 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{Z4VP63V2RGQ3MFCEYAARFUKWEA}

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	2026-05-17T23:39:45.037967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf2aff6eba89a1b61444c00112d156201f17b69137dba236ad926edf71b4e201

Aliases

arxiv: 1903.01271 · arxiv_version: 1903.01271v2 · doi: 10.48550/arxiv.1903.01271 · pith_short_12: Z4VP63V2RGQ3 · pith_short_16: Z4VP63V2RGQ3MFCE · pith_short_8: Z4VP63V2

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/Z4VP63V2RGQ3MFCEYAARFUKWEA \
  | 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: cf2aff6eba89a1b61444c00112d156201f17b69137dba236ad926edf71b4e201

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb9bc60f16d596e5237bab9bfef7fbb0af15980c3afa6b70f061ece4d3a5b4c2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-03-04T14:28:50Z",
    "title_canon_sha256": "e87123c749870c49c6b38d04948587198c330f0c1957482323bc730b62879e95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.01271",
    "kind": "arxiv",
    "version": 2
  }
}