Pith Number

pith:7SKHEWAP

pith:2002:7SKHEWAPNW6DDAPLXIJMYIHA6H

not attested not anchored not stored refs pending

Isoperimetric inequalities for nilpotent groups

D. F. Holt, S. M. Gersten, T. R. Riley

arxiv:math/0201261 v1 · 2002-01-28 · 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{7SKHEWAPNW6DDAPLXIJMYIHA6H}

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	2026-05-18T04:42:22.498874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc9472580f6dbc3181ebba12cc20e0f1db11e780429786145376cea81dae5410

Aliases

arxiv: math/0201261 · arxiv_version: math/0201261v1 · doi: 10.48550/arxiv.math/0201261 · pith_short_12: 7SKHEWAPNW6D · pith_short_16: 7SKHEWAPNW6DDAPL · pith_short_8: 7SKHEWAP

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/7SKHEWAPNW6DDAPLXIJMYIHA6H \
  | 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: fc9472580f6dbc3181ebba12cc20e0f1db11e780429786145376cea81dae5410

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b4f954ee6dc6671af75267c47c20b8b6bde093e66efe407095d55b8ceb4e652",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2002-01-28T20:26:42Z",
    "title_canon_sha256": "0ea4d4df23271796c6ac9cdd1144bd569de0bbc6a5cb720f20ea3ed5a7e8e83c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0201261",
    "kind": "arxiv",
    "version": 1
  }
}