Pith Number

pith:F4KCJL25

pith:2015:F4KCJL25AAJMY7QE5KRVPEBFMK

not attested not anchored not stored refs pending

Self-similar analytical solution of the critical fluctuations problem for the Bose-Einstein condensation in an ideal gas

Vitaly V. Kocharovsky, Vladimir V. Kocharovsky

arxiv:1511.01893 v1 · 2015-11-05 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4KCJL25AAJMY7QE5KRVPEBFMK}

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	2026-05-18T01:27:21.873776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f1424af5d0012cc7e04eaa3579025628aab3c37b65fcfa807f38b13a16656c1

Aliases

arxiv: 1511.01893 · arxiv_version: 1511.01893v1 · doi: 10.48550/arxiv.1511.01893 · pith_short_12: F4KCJL25AAJM · pith_short_16: F4KCJL25AAJMY7QE · pith_short_8: F4KCJL25

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/F4KCJL25AAJMY7QE5KRVPEBFMK \
  | 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: 2f1424af5d0012cc7e04eaa3579025628aab3c37b65fcfa807f38b13a16656c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "567b2d1293de49420b666dc8e7db757e5f143e080dc6f5146839137eee4cf634",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-11-05T05:53:53Z",
    "title_canon_sha256": "fd7c65556a356290d28214fdab8ef869c791e7d141b8184b79b9edf7dca91aa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01893",
    "kind": "arxiv",
    "version": 1
  }
}