Pith Number

pith:HUNL3GCW

pith:2007:HUNL3GCWWZ6CVECSP22E4NNQ3H

not attested not anchored not stored refs pending

Admissible orders of Jordan loops

Kyle Pula, Michael K. Kinyon, Petr Vojtechovsky

arxiv:0705.3445 v2 · 2007-05-23 · 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{HUNL3GCWWZ6CVECSP22E4NNQ3H}

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	2026-05-18T04:15:17.314346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d1abd9856b67c2a90527eb44e35b0d9eb927b23b149d66e3e0d1e6a6a59da74

Aliases

arxiv: 0705.3445 · arxiv_version: 0705.3445v2 · doi: 10.48550/arxiv.0705.3445 · pith_short_12: HUNL3GCWWZ6C · pith_short_16: HUNL3GCWWZ6CVECS · pith_short_8: HUNL3GCW

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/HUNL3GCWWZ6CVECSP22E4NNQ3H \
  | 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: 3d1abd9856b67c2a90527eb44e35b0d9eb927b23b149d66e3e0d1e6a6a59da74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f20d397b869641b7281e6c9b1278b828a785c70e70dd7635e727e00d2bb9053b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2007-05-23T18:51:57Z",
    "title_canon_sha256": "e807b1e18bf48ff578a1f7059383d32eedb90ca3071d7790396c9af1054f500f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.3445",
    "kind": "arxiv",
    "version": 2
  }
}