Pith Number

pith:XDB5X43T

pith:2010:XDB5X43TIY2WXB452PDZCQX64V

not attested not anchored not stored refs pending

A dynamic correspondence between Bose-Einstein condensates and Friedmann-Lema\^itre-Robertson-Walker and Bianchi I cosmology with a cosmological constant

Floyd L. Williams, Jennie D'Ambroise

arxiv:1007.4237 v1 · 2010-07-24 · math-ph · hep-th · 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{XDB5X43TIY2WXB452PDZCQX64V}

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	2026-05-18T02:33:08.824187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8c3dbf37346356b879dd3c79142fee57a18b8817be722783ca76c4c077dca66

Aliases

arxiv: 1007.4237 · arxiv_version: 1007.4237v1 · doi: 10.48550/arxiv.1007.4237 · pith_short_12: XDB5X43TIY2W · pith_short_16: XDB5X43TIY2WXB45 · pith_short_8: XDB5X43T

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/XDB5X43TIY2WXB452PDZCQX64V \
  | 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: b8c3dbf37346356b879dd3c79142fee57a18b8817be722783ca76c4c077dca66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db730c2fffa99bc13b673db78d6acdfd4e99dfa24027538d4d47e89463ab92ce",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-07-24T00:56:59Z",
    "title_canon_sha256": "f55184e77c6f6c4e787a3d285e8177e10864e87169e313ca07d7c9cab24da943"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4237",
    "kind": "arxiv",
    "version": 1
  }
}