Pith Number

pith:BGG6QG3M

pith:2012:BGG6QG3MDPARDBY2WPRF5BMLEA

not attested not anchored not stored refs pending

Cosmological perturbations during the Bose-Einstein condensation of dark matter

R. C. Freitas, S. V. B. Gon\c{c}alves

arxiv:1211.6701 v2 · 2012-11-28 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BGG6QG3MDPARDBY2WPRF5BMLEA}

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	2026-05-18T03:26:52.554026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

098de81b6c1bc111871ab3e25e858b201bfea86b5d0d614d60ed763cbc9c2f95

Aliases

arxiv: 1211.6701 · arxiv_version: 1211.6701v2 · doi: 10.48550/arxiv.1211.6701 · pith_short_12: BGG6QG3MDPAR · pith_short_16: BGG6QG3MDPARDBY2 · pith_short_8: BGG6QG3M

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/BGG6QG3MDPARDBY2WPRF5BMLEA \
  | 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: 098de81b6c1bc111871ab3e25e858b201bfea86b5d0d614d60ed763cbc9c2f95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "183b25d581075fa415e35c93679c138c660d2f1881da295c39d13628a8ae6d39",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-11-28T18:51:32Z",
    "title_canon_sha256": "068b65e6f036b4776f5171048291252296c10c5f4d21d3c1a2fb48a9f24be881"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6701",
    "kind": "arxiv",
    "version": 2
  }
}