Pith Number

pith:N4SNRLH4

pith:2002:N4SNRLH4MIC7U6HDUUUJIFMLYK

not attested not anchored not stored refs pending

Convergence groups from subgroups

Eric L Swenson

arxiv:math/0212386 v1 · 2002-12-31 · math.GR · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N4SNRLH4MIC7U6HDUUUJIFMLYK}

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	2026-05-18T02:38:00.485684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f24d8acfc6205fa78e3a52894158bc2a88f3f9da11f5d462e21c6c2b136c8f8

Aliases

arxiv: math/0212386 · arxiv_version: math/0212386v1 · doi: 10.48550/arxiv.math/0212386 · pith_short_12: N4SNRLH4MIC7 · pith_short_16: N4SNRLH4MIC7U6HD · pith_short_8: N4SNRLH4

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/N4SNRLH4MIC7U6HDUUUJIFMLYK \
  | 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: 6f24d8acfc6205fa78e3a52894158bc2a88f3f9da11f5d462e21c6c2b136c8f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e4b38512e0a4a18cf4586db4cd83228fa6679ab888c2d3752bc2a5899edfa2a",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2002-12-31T14:12:41Z",
    "title_canon_sha256": "5684a3155af0569d1710fd5a760aafaa1a5849266138498f380d701f95602fc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0212386",
    "kind": "arxiv",
    "version": 1
  }
}