Pith Number

pith:DGKIWUXK

pith:2002:DGKIWUXKKBXV6YDFVVCH3YSJD2

not attested not anchored not stored refs pending

Abelian Subgroups of the Torelli Group

William R. Vautaw

arxiv:math/0203131 v1 · 2002-03-14 · math.GT · 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{DGKIWUXKKBXV6YDFVVCH3YSJD2}

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	2026-05-18T02:41:33.080804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19948b52ea506f5f6065ad447de2491eaa3849973f3f5df6896cf412329d69d1

Aliases

arxiv: math/0203131 · arxiv_version: math/0203131v1 · doi: 10.48550/arxiv.math/0203131 · pith_short_12: DGKIWUXKKBXV · pith_short_16: DGKIWUXKKBXV6YDF · pith_short_8: DGKIWUXK

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/DGKIWUXKKBXV6YDFVVCH3YSJD2 \
  | 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: 19948b52ea506f5f6065ad447de2491eaa3849973f3f5df6896cf412329d69d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2ed40a1df914208cefc8947cad80d0ecf617355d50c022d995ed50877059331",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-03-14T11:15:51Z",
    "title_canon_sha256": "1c84f957d627b9fa4f9812d125e8a0d58a4def87b07fbd81dfc68f9eaadd1305"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0203131",
    "kind": "arxiv",
    "version": 1
  }
}