Pith Number

pith:USXQTXZH

pith:1999:USXQTXZHZBB6LKYMWL5E7Z6OJU

not attested not anchored not stored refs pending

A New Crystallographic Method for Detecting Space Topology

Jean-Philippe Uzan, Jean-Pierre Luminet, Roland Lehoucq

arxiv:astro-ph/9903155 v2 · 1999-03-10 · 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{USXQTXZHZBB6LKYMWL5E7Z6OJU}

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	2026-05-18T04:21:32.361941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4af09df27c843e5ab0cb2fa4fe7ce4d0b35610e458c1030bc17c7e1cc9ce42a

Aliases

arxiv: astro-ph/9903155 · arxiv_version: astro-ph/9903155v2 · doi: 10.48550/arxiv.astro-ph/9903155 · pith_short_12: USXQTXZHZBB6 · pith_short_16: USXQTXZHZBB6LKYM · pith_short_8: USXQTXZH

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/USXQTXZHZBB6LKYMWL5E7Z6OJU \
  | 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: a4af09df27c843e5ab0cb2fa4fe7ce4d0b35610e458c1030bc17c7e1cc9ce42a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d071e2725399388a359571b7e67a53bef91b836e0bb1cc8f9d99ffc66a26158",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-03-10T19:17:24Z",
    "title_canon_sha256": "a1904731fe47d53fd52abf0d1e3668a374a95637facd0fc705f148e551930790"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9903155",
    "kind": "arxiv",
    "version": 2
  }
}