Pith Number

pith:ID7TDYM2

pith:2012:ID7TDYM2F6MRZOQ25BCLQP2BOG

not attested not anchored not stored refs pending

The isometry group of the bounded Urysohn space is simple

Katrin Tent, Martin Ziegler

arxiv:1211.5982 v1 · 2012-11-26 · math.MG · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ID7TDYM2F6MRZOQ25BCLQP2BOG}

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	2026-05-18T02:57:53.167854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40ff31e19a2f991cba1ae844b83f417189a336a9528efb3090671a6c23dd9b55

Aliases

arxiv: 1211.5982 · arxiv_version: 1211.5982v1 · doi: 10.48550/arxiv.1211.5982 · pith_short_12: ID7TDYM2F6MR · pith_short_16: ID7TDYM2F6MRZOQ2 · pith_short_8: ID7TDYM2

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/ID7TDYM2F6MRZOQ25BCLQP2BOG \
  | 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: 40ff31e19a2f991cba1ae844b83f417189a336a9528efb3090671a6c23dd9b55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8dbd02242b1556c4293ec958bb7c8284a13da9a5038245c3c54bb43c049c82b",
    "cross_cats_sorted": [
      "math.GR",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-11-26T15:18:13Z",
    "title_canon_sha256": "5ceaabd6037f49b23ebf3b1b0638c63d625f9b1a999cc3080b679a3905502413"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5982",
    "kind": "arxiv",
    "version": 1
  }
}