Pith Number

pith:GADIYJNT

pith:2010:GADIYJNTGLF2VJJ74LPLJVJF2O

not attested not anchored not stored refs pending

Locally Collapsed 3-Manifolds

Bruce Kleiner, John Lott

arxiv:1005.5106 v3 · 2010-05-27 · math.DG · 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{GADIYJNTGLF2VJJ74LPLJVJF2O}

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	2026-05-18T02:50:32.716080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30068c25b332cbaaa53fe2deb4d525d3b2b021a08d1ae53a44dd09938527da64

Aliases

arxiv: 1005.5106 · arxiv_version: 1005.5106v3 · doi: 10.48550/arxiv.1005.5106 · pith_short_12: GADIYJNTGLF2 · pith_short_16: GADIYJNTGLF2VJJ7 · pith_short_8: GADIYJNT

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/GADIYJNTGLF2VJJ74LPLJVJF2O \
  | 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: 30068c25b332cbaaa53fe2deb4d525d3b2b021a08d1ae53a44dd09938527da64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b61916a8f5e4a7e8bb41339d61371e586f240c02a5389ab304eccf34652a481",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-05-27T16:17:04Z",
    "title_canon_sha256": "76e948070e3454ec5c3851e90f5e276a1fea0c9f82fabdf7678ae1ed6a3d9462"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5106",
    "kind": "arxiv",
    "version": 3
  }
}