Pith Number

pith:RVHCDXUQ

pith:2012:RVHCDXUQABH43HLEVOZ353CKSW

not attested not anchored not stored refs pending

Mixing of blackbodies: entropy production and dissipation of sound waves in the early Universe

Jens Chluba, Rashid A. Sunyaev, Rishi Khatri

arxiv:1205.2871 v2 · 2012-05-13 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RVHCDXUQABH43HLEVOZ353CKSW}

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	2026-05-18T03:51:25.179372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d4e21de90004fcd9d64abb3beec4a95b31d004de0d5727b365945e06ec1706d

Aliases

arxiv: 1205.2871 · arxiv_version: 1205.2871v2 · doi: 10.48550/arxiv.1205.2871 · pith_short_12: RVHCDXUQABH4 · pith_short_16: RVHCDXUQABH43HLE · pith_short_8: RVHCDXUQ

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/RVHCDXUQABH43HLEVOZ353CKSW \
  | 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: 8d4e21de90004fcd9d64abb3beec4a95b31d004de0d5727b365945e06ec1706d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "884b203f03b4beb71f96b46a30f910948527b0f4a5e3a6ace166089e7e355cce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-05-13T15:00:43Z",
    "title_canon_sha256": "651aa749637b508cbc129dd49297630aeaec601de271b1ac0478e87dde5df50e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2871",
    "kind": "arxiv",
    "version": 2
  }
}