Pith Number

pith:GQEWWGZ4

pith:1998:GQEWWGZ4WFYN7RSPUJWB4J3B5B

not attested not anchored not stored refs pending

Genus two 3-manifolds are built from handle number one pieces

Eric Sedgwick

arxiv:math/9811029 v2 · 1998-11-06 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQEWWGZ4WFYN7RSPUJWB4J3B5B}

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	2026-05-18T02:41:26.512559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34096b1b3cb170dfc64fa26c1e2761e84cc8d36ee0995dcb72be326132ff5c07

Aliases

arxiv: math/9811029 · arxiv_version: math/9811029v2 · doi: 10.48550/arxiv.math/9811029 · pith_short_12: GQEWWGZ4WFYN · pith_short_16: GQEWWGZ4WFYN7RSP · pith_short_8: GQEWWGZ4

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/GQEWWGZ4WFYN7RSPUJWB4J3B5B \
  | 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: 34096b1b3cb170dfc64fa26c1e2761e84cc8d36ee0995dcb72be326132ff5c07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cface6db3f050cc19e7d7bb5eace870002cc2c12d6cdff449d37af4ccd9289e3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1998-11-06T00:20:25Z",
    "title_canon_sha256": "6d144047d7335095c62165d04d5056c6267c376f551ee9f489f58afe9e8e4a15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9811029",
    "kind": "arxiv",
    "version": 2
  }
}