Pith Number

pith:OM2JSUNG

pith:2010:OM2JSUNG4X4R2H5IA2IGV63AXW

not attested not anchored not stored refs pending

On the difficulty of presenting finitely presentable groups

Henry Wilton, Martin R Bridson

arxiv:1003.5117 v2 · 2010-03-26 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OM2JSUNG4X4R2H5IA2IGV63AXW}

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	2026-05-18T04:27:47.673474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73349951a6e5f91d1fa806906afb60bdaec1c23ff40be85005b4810cbd18fc0d

Aliases

arxiv: 1003.5117 · arxiv_version: 1003.5117v2 · doi: 10.48550/arxiv.1003.5117 · pith_short_12: OM2JSUNG4X4R · pith_short_16: OM2JSUNG4X4R2H5I · pith_short_8: OM2JSUNG

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/OM2JSUNG4X4R2H5IA2IGV63AXW \
  | 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: 73349951a6e5f91d1fa806906afb60bdaec1c23ff40be85005b4810cbd18fc0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6484fc4a935fbcfb272391152775f94dc641fec5ac15a24ae768280dbf53c43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-03-26T11:27:10Z",
    "title_canon_sha256": "eb3af345f50ba0fecef5bc257ce486f3f0a0cbf1ec07e2dd2895c05475700e37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5117",
    "kind": "arxiv",
    "version": 2
  }
}