Pith Number

pith:R2XPNN3G

pith:2011:R2XPNN3GWBW5A4ANO3S5RTLMLS

not attested not anchored not stored refs pending

On the isometry group of the Urysohn space

Katrin Tent, Martin Ziegler

arxiv:1109.3811 v3 · 2011-09-17 · math.GR · math.LO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R2XPNN3GWBW5A4ANO3S5RTLMLS}

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	2026-05-18T02:58:00.471918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eaef6b766b06dd0700d76e5d8cd6c5cbcf49f20b73b10e74eb666b7f71abebf

Aliases

arxiv: 1109.3811 · arxiv_version: 1109.3811v3 · doi: 10.48550/arxiv.1109.3811 · pith_short_12: R2XPNN3GWBW5 · pith_short_16: R2XPNN3GWBW5A4AN · pith_short_8: R2XPNN3G

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/R2XPNN3GWBW5A4ANO3S5RTLMLS \
  | 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: 8eaef6b766b06dd0700d76e5d8cd6c5cbcf49f20b73b10e74eb666b7f71abebf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e326f09fd54aa36ed8f2bf7100889b30c0caeab5c61d7281ac0878a6cd52e2a5",
    "cross_cats_sorted": [
      "math.LO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-09-17T17:52:22Z",
    "title_canon_sha256": "25633406435043a72d3bca89348d353d8b4ba6691b6667375763d2102dcf3e9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3811",
    "kind": "arxiv",
    "version": 3
  }
}