Pith Number

pith:PCAY4ELC

pith:2011:PCAY4ELCUOYCVYL7KB4PQO7BOD

not attested not anchored not stored refs pending

Enumerating limit groups: A Corrigendum

Daniel Groves, Henry Wilton

arxiv:1112.1223 v1 · 2011-12-06 · 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{PCAY4ELCUOYCVYL7KB4PQO7BOD}

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	2026-05-18T04:06:55.963422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78818e1162a3b02ae17f5078f83be170f91608ffad52be61c42ab721ec5e443f

Aliases

arxiv: 1112.1223 · arxiv_version: 1112.1223v1 · doi: 10.48550/arxiv.1112.1223 · pith_short_12: PCAY4ELCUOYC · pith_short_16: PCAY4ELCUOYCVYL7 · pith_short_8: PCAY4ELC

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/PCAY4ELCUOYCVYL7KB4PQO7BOD \
  | 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: 78818e1162a3b02ae17f5078f83be170f91608ffad52be61c42ab721ec5e443f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81d713c0be14ab7f0270ad0e258ac0941ba0affd43b139aaebc350676a3fe16c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-12-06T10:43:08Z",
    "title_canon_sha256": "7293033ad746ee2d0bd98b098ffcfab57fe6147e5da71ccd7f1ee4cb52d6cc56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1223",
    "kind": "arxiv",
    "version": 1
  }
}