Pith Number

pith:3Y4L4A7C

pith:2018:3Y4L4A7CCTGZM54YYOAEXJUJNQ

not attested not anchored not stored refs pending

Longitudinal Mapping Knot Invariant for SU(2)

Masahico Saito, W. Edwin Clark

arxiv:1802.08899 v1 · 2018-02-24 · 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{3Y4L4A7CCTGZM54YYOAEXJUJNQ}

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	2026-05-18T00:22:36.112431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de38be03e214cd967798c3804ba6896c26c61ce676c69847b4d6b0b5effe7728

Aliases

arxiv: 1802.08899 · arxiv_version: 1802.08899v1 · doi: 10.48550/arxiv.1802.08899 · pith_short_12: 3Y4L4A7CCTGZ · pith_short_16: 3Y4L4A7CCTGZM54Y · pith_short_8: 3Y4L4A7C

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/3Y4L4A7CCTGZM54YYOAEXJUJNQ \
  | 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: de38be03e214cd967798c3804ba6896c26c61ce676c69847b4d6b0b5effe7728

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa2b54c47b366392e6dbb58c0650327af036870fa154f690c574598b792328cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-02-24T19:24:48Z",
    "title_canon_sha256": "121287df6ed1fc3d0919de064fa9334111e91013c5de8ddc1c28454d8039848c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08899",
    "kind": "arxiv",
    "version": 1
  }
}