Pith Number

pith:FQEIRAA3

pith:2009:FQEIRAA3LACMYMH6SFY5HZTCLR

not attested not anchored not stored refs pending

The impact of a strongly first-order phase transition on the abundance of thermal relics

Carroll Wainwright, Stefano Profumo

arxiv:0909.1317 v2 · 2009-09-07 · hep-ph · astro-ph.CO · 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{FQEIRAA3LACMYMH6SFY5HZTCLR}

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	2026-07-04T17:16:39.838192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c0888801b5804cc30fe9171d3e6625c7a82ae25c8e7d4d164528282fc7ec887

Aliases

arxiv: 0909.1317 · arxiv_version: 0909.1317v2 · doi: 10.48550/arxiv.0909.1317 · pith_short_12: FQEIRAA3LACM · pith_short_16: FQEIRAA3LACMYMH6 · pith_short_8: FQEIRAA3

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/FQEIRAA3LACMYMH6SFY5HZTCLR \
  | 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: 2c0888801b5804cc30fe9171d3e6625c7a82ae25c8e7d4d164528282fc7ec887

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f22fc88297aa5e318331668b20657bd761de9fe249223b824b76d122ec573bc1",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2009-09-07T20:49:58Z",
    "title_canon_sha256": "1d62ec1747500654b2b12f77c8315904e48aca6a10f544115e10d524bab6e047"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1317",
    "kind": "arxiv",
    "version": 2
  }
}