Pith Number

pith:HUL7YZGP

pith:2012:HUL7YZGPJP3IPJMUNPGMFFABHV

not attested not anchored not stored refs pending

On groups that have normal forms computable in logspace

Gillian Elston, Gretchen Ostheimer, Murray Elder

arxiv:1201.4363 v3 · 2012-01-20 · math.GR · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HUL7YZGPJP3IPJMUNPGMFFABHV}

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	2026-05-18T03:01:11.345016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d17fc64cf4bf687a5946bccc294013d60a576d3d7753b785470e6189f82b4dc

Aliases

arxiv: 1201.4363 · arxiv_version: 1201.4363v3 · doi: 10.48550/arxiv.1201.4363 · pith_short_12: HUL7YZGPJP3I · pith_short_16: HUL7YZGPJP3IPJMU · pith_short_8: HUL7YZGP

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/HUL7YZGPJP3IPJMUNPGMFFABHV \
  | 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: 3d17fc64cf4bf687a5946bccc294013d60a576d3d7753b785470e6189f82b4dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4758cb285f76fbb1a44ff33d0ac48e0dac317e96b54dc8ed7ad80231d016c8df",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-01-20T18:38:44Z",
    "title_canon_sha256": "a8fdb547ce2fd9a0be9a3eba5fa2b235e12eca345dc4bd7591c11a660dcd603b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4363",
    "kind": "arxiv",
    "version": 3
  }
}