Pith Number

pith:XCR7CWPM

pith:2000:XCR7CWPMXDBSUWS64TGSGTO35B

not attested not anchored not stored refs pending

Minimal Models for Non-Free Circle Actions

Agusti Roig, Martintxo Saralegi-Aranguren

arxiv:math/0004141 v1 · 2000-04-23 · math.AT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XCR7CWPMXDBSUWS64TGSGTO35B}

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	2026-05-18T03:54:26.574015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8a3f159ecb8c32a5a5ee4cd234ddbe86c24dd8afe36ba140982191852a44877

Aliases

arxiv: math/0004141 · arxiv_version: math/0004141v1 · doi: 10.48550/arxiv.math/0004141 · pith_short_12: XCR7CWPMXDBS · pith_short_16: XCR7CWPMXDBSUWS6 · pith_short_8: XCR7CWPM

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/XCR7CWPMXDBSUWS64TGSGTO35B \
  | 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: b8a3f159ecb8c32a5a5ee4cd234ddbe86c24dd8afe36ba140982191852a44877

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8bfbfa717c55783eac5a78b9ee99921a8f3905e9cb538b8d6c8b9f7be816b2b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2000-04-23T17:27:44Z",
    "title_canon_sha256": "3a5a25cd19729643f3e31aa920a313c689af315c707aa80f35beb2556b5bd502"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0004141",
    "kind": "arxiv",
    "version": 1
  }
}