Pith Number

pith:J3EJ5UAD

pith:1994:J3EJ5UADJT7EBZFFSJ4UVWWL6X

not attested not anchored not stored refs pending

On the geometric and topological rigidity of hyperbolic 3-manifolds

David Gabai

arxiv:math/9410218 v1 · 1994-10-01 · 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{J3EJ5UADJT7EBZFFSJ4UVWWL6X}

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	2026-05-18T01:05:50.951816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ec89ed0034cfe40e4a592794adacbf5e183afee93821e299d18370d4b152d3a

Aliases

arxiv: math/9410218 · arxiv_version: math/9410218v1 · doi: 10.48550/arxiv.math/9410218 · pith_short_12: J3EJ5UADJT7E · pith_short_16: J3EJ5UADJT7EBZFF · pith_short_8: J3EJ5UAD

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/J3EJ5UADJT7EBZFFSJ4UVWWL6X \
  | 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: 4ec89ed0034cfe40e4a592794adacbf5e183afee93821e299d18370d4b152d3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d854804e028c246f920166ec0459c2da2feb04103542fbbd830ee43aba12862",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1994-10-01T00:00:00Z",
    "title_canon_sha256": "e3a9a77e0ee45302530e55ed748a238f2a595a9ba393dec7236bc3622051a604"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9410218",
    "kind": "arxiv",
    "version": 1
  }
}