Pith Number

pith:45454V25

pith:2026:45454V25N64EWVDJM4RY3ATBFE

not attested not anchored not stored refs pending

A universal time-of-arrival signature of Bose--Einstein condensation

Mathieu Beau, Timothey Szczepanski

arxiv:2607.00184 v1 · 2026-06-30 · quant-ph · cond-mat.quant-gas · 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{45454V25N64EWVDJM4RY3ATBFE}

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	2026-07-02T00:18:38.239436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e779de575d6fb84b546967238d82612935345605986f7389138b9e0f7d599677

Aliases

arxiv: 2607.00184 · arxiv_version: 2607.00184v1 · doi: 10.48550/arxiv.2607.00184 · pith_short_12: 45454V25N64E · pith_short_16: 45454V25N64EWVDJ · pith_short_8: 45454V25

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/45454V25N64EWVDJM4RY3ATBFE \
  | 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: e779de575d6fb84b546967238d82612935345605986f7389138b9e0f7d599677

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff53e571f1d6e629b91465806b477e29b5e0a5f1ed226f2b88df5a4d7d94e93f",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-30T21:05:38Z",
    "title_canon_sha256": "200fb640473f1e4850a857cae521eca217633c098107c136077aa9b234a0fa60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00184",
    "kind": "arxiv",
    "version": 1
  }
}