Pith Number

pith:UOKCPFRG

pith:2010:UOKCPFRGOW4OX3OE4JIR4L7L2H

not attested not anchored not stored refs pending

Uniformly rigid spaces

Christian Kappen

arxiv:1009.1056 v2 · 2010-09-06 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UOKCPFRGOW4OX3OE4JIR4L7L2H}

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	2026-05-18T04:25:37.797624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a39427962675b8ebedc4e2511e2febd1f402feb098e45e49df0b963f2694d012

Aliases

arxiv: 1009.1056 · arxiv_version: 1009.1056v2 · doi: 10.48550/arxiv.1009.1056 · pith_short_12: UOKCPFRGOW4O · pith_short_16: UOKCPFRGOW4OX3OE · pith_short_8: UOKCPFRG

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/UOKCPFRGOW4OX3OE4JIR4L7L2H \
  | 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: a39427962675b8ebedc4e2511e2febd1f402feb098e45e49df0b963f2694d012

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fbd7e8e906399b7eeb8ecfba5e1a1ac8dec3f849f2784d5d72a4e75ae65c8a0",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-06T13:49:55Z",
    "title_canon_sha256": "041c84cc69a9c4713457cc392f765b63abd171cb70896bed0e52eef96ce17bc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1056",
    "kind": "arxiv",
    "version": 2
  }
}