Pith Number

pith:YSQ6YFC7

pith:2014:YSQ6YFC7I5WVI7UBTUO3RAKR42

not attested not anchored not stored refs pending

An explicit formula for the A-polynomial of twist knots

Daniel V. Mathews

arxiv:1403.2020 v1 · 2014-03-09 · 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{YSQ6YFC7I5WVI7UBTUO3RAKR42}

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

Improved particle swarm optimization algorithm: multi-target trajectory optimization for swarm drones

Receipt and verification

First computed	2026-05-18T02:56:51.043565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4a1ec145f476d547e819d1db88151e6b45c7baa1abd9b56686085546cc42633

Aliases

arxiv: 1403.2020 · arxiv_version: 1403.2020v1 · doi: 10.48550/arxiv.1403.2020 · pith_short_12: YSQ6YFC7I5WV · pith_short_16: YSQ6YFC7I5WVI7UB · pith_short_8: YSQ6YFC7

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/YSQ6YFC7I5WVI7UBTUO3RAKR42 \
  | 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: c4a1ec145f476d547e819d1db88151e6b45c7baa1abd9b56686085546cc42633

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6654e76cbb12f585d2096a86c702efe0c8601133ac0447cebf55b8217aaa980",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-03-09T00:55:11Z",
    "title_canon_sha256": "3b9abb4b83ff532a59f12d62daf6176743fcf88abe256c9c63d67d60c22c7830"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2020",
    "kind": "arxiv",
    "version": 1
  }
}