Pith Number

pith:5J6PONFJ

pith:2004:5J6PONFJTBKJKPKW77VMIY7S5J

not attested not anchored not stored refs pending

Automorphisms and abstract commensurators of 2-dimensional Artin groups

John Crisp

arxiv:math/0410205 v3 · 2004-10-07 · 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{5J6PONFJTBKJKPKW77VMIY7S5J}

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	2026-05-18T02:37:59.965139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea7cf734a99854953d56ffeac463f2ea6bb60deef599e8c25759ecf69ed4eb5b

Aliases

arxiv: math/0410205 · arxiv_version: math/0410205v3 · doi: 10.48550/arxiv.math/0410205 · pith_short_12: 5J6PONFJTBKJ · pith_short_16: 5J6PONFJTBKJKPKW · pith_short_8: 5J6PONFJ

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/5J6PONFJTBKJKPKW77VMIY7S5J \
  | 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: ea7cf734a99854953d56ffeac463f2ea6bb60deef599e8c25759ecf69ed4eb5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9631bcade2b02ecb8b40b8d7548876ab52fffa303f02416c95d5959c18d92eb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2004-10-07T14:52:46Z",
    "title_canon_sha256": "dfe5405a60f60e9e3552e29dd29f55fa20ffd9992e1affab9160b890916a107c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410205",
    "kind": "arxiv",
    "version": 3
  }
}