Pith Number

pith:4WQW7NH2

pith:2020:4WQW7NH2HPALKFDEWTRDJ6QY37

not attested not anchored not stored refs pending

A-polynomials, Ptolemy equations and Dehn filling

Daniel V. Mathews, Jessica S. Purcell, Joshua A. Howie

arxiv:2002.10356 v4 · 2020-02-24 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WQW7NH2HPALKFDEWTRDJ6QY37}

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

Parabolic skein modules

Receipt and verification

First computed	2026-07-05T11:29:43.592384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5a16fb4fa3bc0b51464b4e234fa18dfc31a21d6e82971b01133d8263b798348

Aliases

arxiv: 2002.10356 · arxiv_version: 2002.10356v4 · doi: 10.48550/arxiv.2002.10356 · pith_short_12: 4WQW7NH2HPAL · pith_short_16: 4WQW7NH2HPALKFDE · pith_short_8: 4WQW7NH2

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/4WQW7NH2HPALKFDEWTRDJ6QY37 \
  | 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: e5a16fb4fa3bc0b51464b4e234fa18dfc31a21d6e82971b01133d8263b798348

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "078fcd4f6146c24f4ee7ad6c908e476da7f4a674efff8232b6bd183746701982",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2020-02-24T16:39:21Z",
    "title_canon_sha256": "0fc32840336ef55257fd2e1236300f5fdd6b929094b5ae3e241ff9ab3cc38c14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.10356",
    "kind": "arxiv",
    "version": 4
  }
}