Pith Number

pith:KG6BJVA4

pith:2010:KG6BJVA4V5FZ73XBNUD6U4XRA2

not attested not anchored not stored refs pending

Layered models for closed 3-manifolds

Jesse Johnson

arxiv:1011.6343 v1 · 2010-11-29 · 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{KG6BJVA4V5FZ73XBNUD6U4XRA2}

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	2026-05-18T04:34:35.976467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51bc14d41caf4b9feee16d07ea72f10691609c3ca442548edd903d0050b7abb7

Aliases

arxiv: 1011.6343 · arxiv_version: 1011.6343v1 · doi: 10.48550/arxiv.1011.6343 · pith_short_12: KG6BJVA4V5FZ · pith_short_16: KG6BJVA4V5FZ73XB · pith_short_8: KG6BJVA4

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/KG6BJVA4V5FZ73XBNUD6U4XRA2 \
  | 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: 51bc14d41caf4b9feee16d07ea72f10691609c3ca442548edd903d0050b7abb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0600addeec5d4423c0ca5126f10ed04592b88833a4dbdb2357273b9df4a5235",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-11-29T19:39:55Z",
    "title_canon_sha256": "c52e4f44d0b4db90a89b8bfc0e7404a58cff3a59097a97fa7f8794a78b317888"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6343",
    "kind": "arxiv",
    "version": 1
  }
}