Pith Number

pith:VREKE35U

pith:2009:VREKE35UZMEVML65X24HXEKHAM

not attested not anchored not stored refs pending

On Non Ergodic Property of Bose Gas with Weak Pair Interaction

D.V. Prokhorenko

arxiv:0904.2868 v2 · 2009-04-18 · 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{VREKE35UZMEVML65X24HXEKHAM}

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	2026-05-18T04:32:09.674961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac48a26fb4cb09562fddbeb87b91470318379f904591c311711fe334c7ce9cfe

Aliases

arxiv: 0904.2868 · arxiv_version: 0904.2868v2 · doi: 10.48550/arxiv.0904.2868 · pith_short_12: VREKE35UZMEV · pith_short_16: VREKE35UZMEVML65 · pith_short_8: VREKE35U

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/VREKE35UZMEVML65X24HXEKHAM \
  | 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: ac48a26fb4cb09562fddbeb87b91470318379f904591c311711fe334c7ce9cfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2ddcc1b6573fb8b715590a1656a398c4651a7fbc59925844021713cc36be3f3",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-04-18T21:55:28Z",
    "title_canon_sha256": "0ee1a1bb3259952ac2464113d4620c6230bc79c4440ae10470d90f34c4102f43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2868",
    "kind": "arxiv",
    "version": 2
  }
}