Pith Number

pith:2VJXCYYI

pith:2015:2VJXCYYIKNLU3752YUPOYA5XYG

not attested not anchored not stored refs pending

Beyond fast rate approximations: General analytic solutions to coupled transport equations during cosmic phase transitions

G. A. White

arxiv:1510.03901 v3 · 2015-10-13 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2VJXCYYIKNLU3752YUPOYA5XYG}

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	2026-05-18T01:21:04.393944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d55371630853574dffbac51eec03b7c1b89025ec809cbd939e39f81aa29f5ec1

Aliases

arxiv: 1510.03901 · arxiv_version: 1510.03901v3 · doi: 10.48550/arxiv.1510.03901 · pith_short_12: 2VJXCYYIKNLU · pith_short_16: 2VJXCYYIKNLU3752 · pith_short_8: 2VJXCYYI

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/2VJXCYYIKNLU3752YUPOYA5XYG \
  | 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: d55371630853574dffbac51eec03b7c1b89025ec809cbd939e39f81aa29f5ec1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f87542fc9bdb9b6acde8ae4d69813d4dd6033cf9d9856d485ed3d6ae1d571e74",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-10-13T21:21:26Z",
    "title_canon_sha256": "1b03224b72ae7fd66166c13bd41e0030a4fed32917b36a064462c91491c3198b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03901",
    "kind": "arxiv",
    "version": 3
  }
}