Pith Number

pith:WCJJJHJI

pith:2007:WCJJJHJIB5HLXD5NSI52ND3D5F

not attested not anchored not stored refs pending

Cosmic structures via Bose Einstein condensation and its collapse

Masahiro Morikawa, Takayuki Tatekawa, Takeshi Fukuyama

arxiv:0705.3091 v1 · 2007-05-22 · astro-ph · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCJJJHJIB5HLXD5NSI52ND3D5F}

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.

Cited by

1 paper in Pith

Vortex-reconnection energy bounds in Bose-Einstein-condensed and superfluid dark matter halos

Receipt and verification

First computed	2026-07-04T15:44:23.146779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b092949d280f4ebb8fad923ba68f63e96cce462e0541182f0589f2a46f84e92a

Aliases

arxiv: 0705.3091 · arxiv_version: 0705.3091v1 · doi: 10.48550/arxiv.0705.3091 · pith_short_12: WCJJJHJIB5HL · pith_short_16: WCJJJHJIB5HLXD5N · pith_short_8: WCJJJHJI

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/WCJJJHJIB5HLXD5NSI52ND3D5F \
  | 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: b092949d280f4ebb8fad923ba68f63e96cce462e0541182f0589f2a46f84e92a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4ef3f7f821715514ae6c433e3029eab78c222f1211a3339718c225593568888",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-05-22T04:39:28Z",
    "title_canon_sha256": "21308945160b3e8ec5ba42c4b95dd62d7cff92cc0fb80a5b9f85d186743934b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.3091",
    "kind": "arxiv",
    "version": 1
  }
}