Pith Number

pith:RIWDEUOX

pith:2008:RIWDEUOX2QRRQKTXAE24A2QBYX

not attested not anchored not stored refs pending

Expansive actions on uniform spaces and surjunctive maps

Michel Coornaert, Tullio Ceccherini-Silberstein

arxiv:0810.1295 v3 · 2008-10-07 · math.GR · math.DS · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RIWDEUOX2QRRQKTXAE24A2QBYX}

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	2026-05-18T04:13:07.268730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a2c3251d7d423182a770135c06a01c5cd5f00660ee790399b67991e9494cbd7

Aliases

arxiv: 0810.1295 · arxiv_version: 0810.1295v3 · doi: 10.48550/arxiv.0810.1295 · pith_short_12: RIWDEUOX2QRR · pith_short_16: RIWDEUOX2QRRQKTX · pith_short_8: RIWDEUOX

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/RIWDEUOX2QRRQKTXAE24A2QBYX \
  | 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: 8a2c3251d7d423182a770135c06a01c5cd5f00660ee790399b67991e9494cbd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af7a2e0b9fbf66a3c994eb7aa741e5f2b1ee146323d93ce01b2c15bf9d852f04",
    "cross_cats_sorted": [
      "math.DS",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-10-07T20:40:27Z",
    "title_canon_sha256": "b4df95ad5e66159cb33b07ddc085778c96c782d0fde4de737532661b21803928"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.1295",
    "kind": "arxiv",
    "version": 3
  }
}