Pith Number

pith:WLXQOXTO

pith:2013:WLXQOXTOVEBWUJLPKYGZXFIBFF

not attested not anchored not stored refs pending

Dark matter as a Bose--Einstein Condensate: the relativistic non-minimally coupled case

Dario Bettoni, Mattia Colombo, Stefano Liberati

arxiv:1310.3753 v2 · 2013-10-14 · 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{WLXQOXTOVEBWUJLPKYGZXFIBFF}

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	2026-05-18T02:59:20.715608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2ef075e6ea9036a256f560d9b9501295751cc93bbe4cd94573b80ad09d084cf

Aliases

arxiv: 1310.3753 · arxiv_version: 1310.3753v2 · doi: 10.48550/arxiv.1310.3753 · pith_short_12: WLXQOXTOVEBW · pith_short_16: WLXQOXTOVEBWUJLP · pith_short_8: WLXQOXTO

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/WLXQOXTOVEBWUJLPKYGZXFIBFF \
  | 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: b2ef075e6ea9036a256f560d9b9501295751cc93bbe4cd94573b80ad09d084cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd295c5f0d7e05da979d5129a3596fbddc7ac85138b480acea5c08d7f1aa8f31",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-10-14T17:22:28Z",
    "title_canon_sha256": "83bbc5721be0af73e95cff1e6864a096f406bc4323ac8872245395a59361f121"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3753",
    "kind": "arxiv",
    "version": 2
  }
}