Pith Number

pith:GXAAZ2HV

pith:2012:GXAAZ2HVM3NUR625QCJK4NHDBM

not attested not anchored not stored refs pending

A Hydrodynamical Approach to CMB mu-distortions

Enrico Pajer, Matias Zaldarriaga

arxiv:1206.4479 v1 · 2012-06-20 · astro-ph.CO · gr-qc · 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{GXAAZ2HVM3NUR625QCJK4NHDBM}

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.

Cited by

1 paper in Pith

Freeze-out and spectral running of primordial gravitational waves in viscous cosmology

Receipt and verification

First computed	2026-05-18T01:56:50.289491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35c00ce8f566db48fb5d8092ae34e30b08bd8702a0a3103173e3de5237f90c46

Aliases

arxiv: 1206.4479 · arxiv_version: 1206.4479v1 · doi: 10.48550/arxiv.1206.4479 · pith_short_12: GXAAZ2HVM3NU · pith_short_16: GXAAZ2HVM3NUR625 · pith_short_8: GXAAZ2HV

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/GXAAZ2HVM3NUR625QCJK4NHDBM \
  | 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: 35c00ce8f566db48fb5d8092ae34e30b08bd8702a0a3103173e3de5237f90c46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42cdf4a68724f12ceb29c26387683c97a6f7d6cb8b8a6b283d9bfba9ff544086",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-06-20T12:41:19Z",
    "title_canon_sha256": "5ad028b8cd94e94ea1fda2160300d416ba9a981d21b8a0aa6758bf8cb4ea41a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4479",
    "kind": "arxiv",
    "version": 1
  }
}