Pith Number

pith:XKZJQF7D

pith:1998:XKZJQF7DUHSML4E5OVX7UJKPD4

not attested not anchored not stored refs pending

Group negative curvature for 3-manifolds with genuine laminations

David Gabai, William H. Kazez

arxiv:math/9805152 v1 · 1998-05-11 · 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{XKZJQF7DUHSML4E5OVX7UJKPD4}

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	2026-05-18T02:37:59.315624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bab29817e3a1e4c5f09d756ffa254f1f374d98760fc72761f23a773fea1da22d

Aliases

arxiv: math/9805152 · arxiv_version: math/9805152v1 · doi: 10.48550/arxiv.math/9805152 · pith_short_12: XKZJQF7DUHSM · pith_short_16: XKZJQF7DUHSML4E5 · pith_short_8: XKZJQF7D

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/XKZJQF7DUHSML4E5OVX7UJKPD4 \
  | 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: bab29817e3a1e4c5f09d756ffa254f1f374d98760fc72761f23a773fea1da22d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80b0dc5fa0f35f2f8436ef1b5b034112e835bb1ca6015dcc29245429079d2cdc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1998-05-11T00:00:00Z",
    "title_canon_sha256": "abed7b98e92dcdf48298f7a540f8f89ac62d03e4c973711a3ef5c14d18fe4d6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9805152",
    "kind": "arxiv",
    "version": 1
  }
}