Pith Number

pith:3ACDHRHE

pith:2001:3ACDHRHEJFE2Y2FCIZXQWSMK6G

not attested not anchored not stored refs pending

The theory of CMB anisotropies

Ruth Durrer

arxiv:astro-ph/0109522 v1 · 2001-09-27 · astro-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{3ACDHRHEJFE2Y2FCIZXQWSMK6G}

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	2026-05-18T02:40:35.934098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d80433c4e44949ac68a2466f0b498af1bd972b83402e3500d474483036c118bd

Aliases

arxiv: astro-ph/0109522 · arxiv_version: astro-ph/0109522v1 · doi: 10.48550/arxiv.astro-ph/0109522 · pith_short_12: 3ACDHRHEJFE2 · pith_short_16: 3ACDHRHEJFE2Y2FC · pith_short_8: 3ACDHRHE

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/3ACDHRHEJFE2Y2FCIZXQWSMK6G \
  | 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: d80433c4e44949ac68a2466f0b498af1bd972b83402e3500d474483036c118bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3a35afb911a68cf049af52d5f87446de8971530ddffaa57c0fdf0b0344cefad",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-09-27T16:57:53Z",
    "title_canon_sha256": "439a07f563abe91ddb114d16d54b3f1ff1386b44f0bed23473b55c7fd9583b6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0109522",
    "kind": "arxiv",
    "version": 1
  }
}