Pith Number

pith:ZPGGYAAL

pith:2021:ZPGGYAALTDUPDPFCTX2TJSIDC3

not attested not anchored not stored refs pending

The signature and cusp geometry of hyperbolic knots

Alex Davies, Andr\'as Juh\'asz, Marc Lackenby, Nenad Tomasev

arxiv:2111.15323 v3 · 2021-11-30 · math.GT · cs.AI · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPGGYAALTDUPDPFCTX2TJSIDC3}

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

1 paper in Pith

Pre-Strings Lectures on Artificial Intelligence

Receipt and verification

First computed	2026-07-05T09:02:09.511880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbcc6c000b98e8f1bca29df534c90316f59fb8e7886ac091766bf8cb892fd17d

Aliases

arxiv: 2111.15323 · arxiv_version: 2111.15323v3 · doi: 10.48550/arxiv.2111.15323 · pith_short_12: ZPGGYAALTDUP · pith_short_16: ZPGGYAALTDUPDPFC · pith_short_8: ZPGGYAAL

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/ZPGGYAALTDUPDPFCTX2TJSIDC3 \
  | 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: cbcc6c000b98e8f1bca29df534c90316f59fb8e7886ac091766bf8cb892fd17d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4923446c26b6555479361e43b7b197beb928ae954edf02595fcc5fc2fe3cbba1",
    "cross_cats_sorted": [
      "cs.AI",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-11-30T12:08:03Z",
    "title_canon_sha256": "efd055488005510fff5ccf179ac59c3d7c645f93c1e786670749dee646acf93c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.15323",
    "kind": "arxiv",
    "version": 3
  }
}