Pith Number

pith:FJK7PBPF

pith:2004:FJK7PBPFQFSEPPASIUFUPXDXMK

not attested not anchored not stored refs pending

Tameness of hyperbolic 3-manifolds

Ian Agol

arxiv:math/0405568 v1 · 2004-05-29 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJK7PBPFQFSEPPASIUFUPXDXMK}

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.

Cited by

2 papers in Pith

Bounded volume class and Cheeger isoperimetric constant for negatively curved manifolds

Bounded cohomology classes from differential forms

Receipt and verification

First computed	2026-07-04T14:38:40.068001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a55f785e5816447bc12450b47dc77629070bb5633ee9591544e08d18655e3f4

Aliases

arxiv: math/0405568 · arxiv_version: math/0405568v1 · doi: 10.48550/arxiv.math/0405568 · pith_short_12: FJK7PBPFQFSE · pith_short_16: FJK7PBPFQFSEPPAS · pith_short_8: FJK7PBPF

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/FJK7PBPFQFSEPPASIUFUPXDXMK \
  | 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: 2a55f785e5816447bc12450b47dc77629070bb5633ee9591544e08d18655e3f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfefcc122056d0740407cbef68afa44ae7080e0dfcfee4bca69df5769236c9e7",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-05-29T02:35:53Z",
    "title_canon_sha256": "ac07407a5c78b5e0b643530bddb789a65d314a4e1a1d26dae8b9425fb2fbba80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405568",
    "kind": "arxiv",
    "version": 1
  }
}