Pith Number

pith:VFVJY673

pith:2016:VFVJY673CYNVZOMTLCCYWBWRXZ

not attested not anchored not stored refs pending

Massive Fermi Gas in the Expanding Universe

Andreas Trautner

arxiv:1612.07249 v2 · 2016-12-21 · astro-ph.CO · cond-mat.quant-gas · hep-ph · quant-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{VFVJY673CYNVZOMTLCCYWBWRXZ}

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	2026-05-18T00:48:41.941221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a96a9c7bfb161b5cb99358858b06d1be54fe424ad0d52f6d84511ab69671578b

Aliases

arxiv: 1612.07249 · arxiv_version: 1612.07249v2 · doi: 10.48550/arxiv.1612.07249 · pith_short_12: VFVJY673CYNV · pith_short_16: VFVJY673CYNVZOMT · pith_short_8: VFVJY673

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/VFVJY673CYNVZOMTLCCYWBWRXZ \
  | 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: a96a9c7bfb161b5cb99358858b06d1be54fe424ad0d52f6d84511ab69671578b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffb1940b546616b12a669d6da37ca4ff9f0ae2a97427ff6fa0c01110ab3b1f32",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "hep-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-12-21T17:43:01Z",
    "title_canon_sha256": "066b98d593498d62a0991dcce54aa2d1be8a7f33e239789c4643896942c48d18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07249",
    "kind": "arxiv",
    "version": 2
  }
}