Pith Number

pith:JL7NVLQU

pith:2002:JL7NVLQUWA4UAMJ3WPC3MTLXVU

not attested not anchored not stored refs pending

Combination of convergence groups

Francois Dahmani

arxiv:math/0203258 v3 · 2002-03-25 · 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{JL7NVLQUWA4UAMJ3WPC3MTLXVU}

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	2026-05-18T02:38:00.677460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4afedaae14b03940313bb3c5b64d77ad1e5cc796e5b2c8940bb212d1475b4028

Aliases

arxiv: math/0203258 · arxiv_version: math/0203258v3 · doi: 10.48550/arxiv.math/0203258 · pith_short_12: JL7NVLQUWA4U · pith_short_16: JL7NVLQUWA4UAMJ3 · pith_short_8: JL7NVLQU

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/JL7NVLQUWA4UAMJ3WPC3MTLXVU \
  | 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: 4afedaae14b03940313bb3c5b64d77ad1e5cc796e5b2c8940bb212d1475b4028

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30442d09363936b169ad1e917d2df20c1258852e0e623cc17e92e7f354f1f3ec",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2002-03-25T12:29:50Z",
    "title_canon_sha256": "7c121afd7b0afc1dffa44bebd6521453f7eb98769b1dda9f63da84453b97dce7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0203258",
    "kind": "arxiv",
    "version": 3
  }
}