Pith Number

pith:4EYCBFRE

pith:2007:4EYCBFREBAULXPWSL4E3DKJTOS

not attested not anchored not stored refs pending

Superinduction for pattern groups

Eric Marberg, Nathaniel Thiem

arxiv:0712.1228 v1 · 2007-12-07 · math.RT · math.CO · 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{4EYCBFREBAULXPWSL4E3DKJTOS}

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	2026-05-18T04:25:39.385566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1302096240828bbbed25f09b1a93374b5f0ae6a6ba95e5dd8aef92bb69209ee

Aliases

arxiv: 0712.1228 · arxiv_version: 0712.1228v1 · doi: 10.48550/arxiv.0712.1228 · pith_short_12: 4EYCBFREBAUL · pith_short_16: 4EYCBFREBAULXPWS · pith_short_8: 4EYCBFRE

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/4EYCBFREBAULXPWSL4E3DKJTOS \
  | 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: e1302096240828bbbed25f09b1a93374b5f0ae6a6ba95e5dd8aef92bb69209ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92aa4030703e4998265f36a6c87d629f023ef291c0f7a6a75c6a7171a38dd386",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2007-12-07T21:57:29Z",
    "title_canon_sha256": "72c9cc088a818d2cdb77b05c29aab2059d2a11e5fcb504202a4c92bc155a71c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1228",
    "kind": "arxiv",
    "version": 1
  }
}