Pith Number

pith:GRNNJMY7

pith:2000:GRNNJMY76YVMIEW3OAOBCJCRUA

not attested not anchored not stored refs pending

Good representations and solvable groups

Dan Edidin, William Graham

arxiv:math/0005102 v1 · 2000-05-10 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRNNJMY76YVMIEW3OAOBCJCRUA}

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	2026-05-18T01:05:38.633652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

345ad4b31ff62ac412db701c112451a01642c8be5185c1633ba8c66cdf709465

Aliases

arxiv: math/0005102 · arxiv_version: math/0005102v1 · doi: 10.48550/arxiv.math/0005102 · pith_short_12: GRNNJMY76YVM · pith_short_16: GRNNJMY76YVMIEW3 · pith_short_8: GRNNJMY7

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/GRNNJMY76YVMIEW3OAOBCJCRUA \
  | 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: 345ad4b31ff62ac412db701c112451a01642c8be5185c1633ba8c66cdf709465

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e58759e2a55e8f01dabaf2069cda9003b843415f979e80fbce1b51e914e1405b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-05-10T20:12:10Z",
    "title_canon_sha256": "8e69c07db38bfaa781fe9542cea03db9787c047d5b7c16ed53dcf61e11a1e176"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0005102",
    "kind": "arxiv",
    "version": 1
  }
}