Pith Number

pith:XFJXPALE

pith:2012:XFJXPALEJ6RMI3QA4KV64UMO5B

not attested not anchored not stored refs pending

Bose gas to Bose-Einstein Condensate by the Phase Transition of the Klein-Gordon equation

El\'ias Castellanos, Tonatiuh Matos

arxiv:1207.4416 v2 · 2012-07-18 · physics.gen-ph · 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{XFJXPALEJ6RMI3QA4KV64UMO5B}

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	2026-05-18T03:45:00.137004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9537781644fa2c46e00e2abee518ee8415653377b4ebe40d1cd46330c46c187

Aliases

arxiv: 1207.4416 · arxiv_version: 1207.4416v2 · doi: 10.48550/arxiv.1207.4416 · pith_short_12: XFJXPALEJ6RM · pith_short_16: XFJXPALEJ6RMI3QA · pith_short_8: XFJXPALE

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/XFJXPALEJ6RMI3QA4KV64UMO5B \
  | 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: b9537781644fa2c46e00e2abee518ee8415653377b4ebe40d1cd46330c46c187

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ce0294ef563ff8d1efa166846e008b519bdd68639670303c2bd674673109c63",
    "cross_cats_sorted": [
      "cond-mat.quant-gas"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2012-07-18T17:15:44Z",
    "title_canon_sha256": "f966601720ae19910261a42f3a932e91fe01cfbe862947fcdfc25be8a0593c49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4416",
    "kind": "arxiv",
    "version": 2
  }
}