Pith Number

pith:7IZI3KF4

pith:2000:7IZI3KF4TGJQRFDCFK3V65RQNP

not attested not anchored not stored refs pending

Limits of crystallographic methods for detecting space topology

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

arxiv:astro-ph/0005515 v1 · 2000-05-25 · astro-ph · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7IZI3KF4TGJQRFDCFK3V65RQNP}

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	2026-05-18T04:21:42.629566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa328da8bc99930894622ab75f76306bfc5edcb351a22f8b7eb0dc4199c4a2c2

Aliases

arxiv: astro-ph/0005515 · arxiv_version: astro-ph/0005515v1 · doi: 10.48550/arxiv.astro-ph/0005515 · pith_short_12: 7IZI3KF4TGJQ · pith_short_16: 7IZI3KF4TGJQRFDC · pith_short_8: 7IZI3KF4

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/7IZI3KF4TGJQRFDCFK3V65RQNP \
  | 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: fa328da8bc99930894622ab75f76306bfc5edcb351a22f8b7eb0dc4199c4a2c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7547d2ae5d26fdcc114fe6b0fced0e2963712f56ba53106d7f2c43e69de5b915",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-05-25T12:12:28Z",
    "title_canon_sha256": "ba85bed9688242ec8f6299caa619b18509f598c5a6ffaca2de77bfc8e27e360f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0005515",
    "kind": "arxiv",
    "version": 1
  }
}