Pith Number

pith:PLEC7FZ3

pith:2010:PLEC7FZ3DWJU6XKMI4X3S3UD2O

not attested not anchored not stored refs pending

Persistent homology of groups

Graham Ellis, Simon A. King

arxiv:1006.2237 v1 · 2010-06-11 · 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{PLEC7FZ3DWJU6XKMI4X3S3UD2O}

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	2026-05-18T03:42:32.418323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ac82f973b1d934f5d4c472fb96e83d39bad0a92918eb7534d5d872e5cebc132

Aliases

arxiv: 1006.2237 · arxiv_version: 1006.2237v1 · doi: 10.48550/arxiv.1006.2237 · pith_short_12: PLEC7FZ3DWJU · pith_short_16: PLEC7FZ3DWJU6XKM · pith_short_8: PLEC7FZ3

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/PLEC7FZ3DWJU6XKMI4X3S3UD2O \
  | 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: 7ac82f973b1d934f5d4c472fb96e83d39bad0a92918eb7534d5d872e5cebc132

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad7a73e5977add79a06ce15a702d03655dc5850a267d00a2242c434945d0e659",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-06-11T09:03:11Z",
    "title_canon_sha256": "c98136dd85c565659a9680781a9e765dbb32717769cf0f0ac7ae9d939cbae5ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2237",
    "kind": "arxiv",
    "version": 1
  }
}