Pith Number

pith:ZK2AALO2

pith:2005:ZK2AALO2I3PI43USQMHD6T4TBS

not attested not anchored not stored refs pending

Constraining topology in harmonic space

A. Riazuelo, J. P. Uzan, L. Cayon, M. Kunz, N. Aghanim, O. Forni

arxiv:astro-ph/0510164 v2 · 2005-10-06 · 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{ZK2AALO2I3PI43USQMHD6T4TBS}

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	2026-07-04T17:15:16.268216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab4002dda46de8e6e92830e3f4f930ca80da96eb92977718e65ecb074938f0b

Aliases

arxiv: astro-ph/0510164 · arxiv_version: astro-ph/0510164v2 · doi: 10.48550/arxiv.astro-ph/0510164 · pith_short_12: ZK2AALO2I3PI · pith_short_16: ZK2AALO2I3PI43US · pith_short_8: ZK2AALO2

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/ZK2AALO2I3PI43USQMHD6T4TBS \
  | 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: cab4002dda46de8e6e92830e3f4f930ca80da96eb92977718e65ecb074938f0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c29b6e4333732162deba3b965697eecbe28472bc824aa999d2b13c6dc09c7ae2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-10-06T09:26:52Z",
    "title_canon_sha256": "cd81884ca8f13b2486da5a2765f505e184f9d03d819d0e6662e30c2b8390a7a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0510164",
    "kind": "arxiv",
    "version": 2
  }
}