Pith Number

pith:WMN77SEX

pith:2012:WMN77SEXF5YX7KAI52YJ7TOSHN

not attested not anchored not stored refs pending

Planck Scale Physics and Bogoliubov Spaces in a Bose-Einstein Condensate

E. Castellanos

arxiv:1212.2700 v2 · 2012-12-12 · gr-qc · cond-mat.quant-gas

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMN77SEXF5YX7KAI52YJ7TOSHN}

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	2026-05-18T03:11:59.278513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b31bffc8972f717fa808eeb09fcdd23b772badba82bf6345072cc3f246516238

Aliases

arxiv: 1212.2700 · arxiv_version: 1212.2700v2 · doi: 10.48550/arxiv.1212.2700 · pith_short_12: WMN77SEXF5YX · pith_short_16: WMN77SEXF5YX7KAI · pith_short_8: WMN77SEX

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/WMN77SEXF5YX7KAI52YJ7TOSHN \
  | 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: b31bffc8972f717fa808eeb09fcdd23b772badba82bf6345072cc3f246516238

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a0a82774e63021601a5227378dc2215b734707ec2910333d49765f09ec2eb60",
    "cross_cats_sorted": [
      "cond-mat.quant-gas"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-12-12T04:09:20Z",
    "title_canon_sha256": "695be85f04caa9dbe9a8432599091deec36881e0e61b5eebfc2ee33872c4daa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2700",
    "kind": "arxiv",
    "version": 2
  }
}