Pith Number

pith:7SX2VZON

pith:2012:7SX2VZONDLVFBGR7L7BMLJJE72

not attested not anchored not stored refs pending

Presentations for subgroups of Artin groups

Ian J. Leary, Warren Dicks

arxiv:1210.6585 v1 · 2012-10-24 · 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{7SX2VZONDLVFBGR7L7BMLJJE72}

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	2026-05-18T03:42:24.470122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcafaae5cd1aea509a3f5fc2c5a524fe805426faf9f6d7dd7a64fb7af80dffc4

Aliases

arxiv: 1210.6585 · arxiv_version: 1210.6585v1 · doi: 10.48550/arxiv.1210.6585 · pith_short_12: 7SX2VZONDLVF · pith_short_16: 7SX2VZONDLVFBGR7 · pith_short_8: 7SX2VZON

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/7SX2VZONDLVFBGR7L7BMLJJE72 \
  | 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: fcafaae5cd1aea509a3f5fc2c5a524fe805426faf9f6d7dd7a64fb7af80dffc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa4ba787ff7137bbc73f973805e4ab3c2eefc39fc06d654b8090740a5b8c47b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-10-24T16:00:16Z",
    "title_canon_sha256": "011974ee7c568f3af1642b549c51b15be9e2e4a5ed4626a876ebad7f99563255"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6585",
    "kind": "arxiv",
    "version": 1
  }
}