Pith Number

pith:Y4PKGLB3

pith:2015:Y4PKGLB3MDJNPZMAQJ2U2LCERG

not attested not anchored not stored refs pending

Ehrenfest breakdown of the mean-field dynamics of Bose gases

Biao Wu, Xizhi Han

arxiv:1506.04020 v2 · 2015-06-12 · cond-mat.quant-gas

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4PKGLB3MDJNPZMAQJ2U2LCERG}

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	2026-05-18T01:20:55.972565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c71ea32c3b60d2d7e58082754d2c4489aa8760bdc12fcf767b7355959e45c02d

Aliases

arxiv: 1506.04020 · arxiv_version: 1506.04020v2 · doi: 10.48550/arxiv.1506.04020 · pith_short_12: Y4PKGLB3MDJN · pith_short_16: Y4PKGLB3MDJNPZMA · pith_short_8: Y4PKGLB3

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/Y4PKGLB3MDJNPZMAQJ2U2LCERG \
  | 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: c71ea32c3b60d2d7e58082754d2c4489aa8760bdc12fcf767b7355959e45c02d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0b28068adb6cd4b8210371700a90b5551d386eb83f9b4037c492ace5f316310",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2015-06-12T14:04:47Z",
    "title_canon_sha256": "ae8cfd981f58cbf974d1d101a02b7218406583125a992b25a202228740746c15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04020",
    "kind": "arxiv",
    "version": 2
  }
}