Pith Number

pith:FDNLKEL5

pith:1996:FDNLKEL5AIQ4YC7AINK27BLSW2

not attested not anchored not stored refs pending

Homotopy Hyperbolic 3-Manifolds are Hyperbolic

David Gabai, G. Robert Meyerhoff, Nathaniel Thurston

arxiv:math/9609207 v1 · 1996-09-13 · 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{FDNLKEL5AIQ4YC7AINK27BLSW2}

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	2026-05-18T01:05:47.058153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28dab5117d0221cc0be04355af8572b68f1a82dd329ecc78a92e17de66f45d45

Aliases

arxiv: math/9609207 · arxiv_version: math/9609207v1 · doi: 10.48550/arxiv.math/9609207 · pith_short_12: FDNLKEL5AIQ4 · pith_short_16: FDNLKEL5AIQ4YC7A · pith_short_8: FDNLKEL5

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/FDNLKEL5AIQ4YC7AINK27BLSW2 \
  | 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: 28dab5117d0221cc0be04355af8572b68f1a82dd329ecc78a92e17de66f45d45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "992bb38920364221d5deeb091250d6c17eb282952e5ff3aaeaec5d91a5a393f5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1996-09-13T00:00:00Z",
    "title_canon_sha256": "8e82f03802d18d630fed9029ce05029c4366811fe7899d56ce83ae1367b42397"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9609207",
    "kind": "arxiv",
    "version": 1
  }
}