Pith Number

pith:FDT3JOU5

pith:2015:FDT3JOU5JMKU64XZNLXISJFYWW

not attested not anchored not stored refs pending

Knot contact homology detects cabled, composite, and torus knots

Cameron Gordon, Tye Lidman

arxiv:1509.01642 v1 · 2015-09-05 · 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{FDT3JOU5JMKU64XZNLXISJFYWW}

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	2026-05-18T01:33:50.993469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28e7b4ba9d4b154f72f96aee8924b8b5ae2ed4b871cf98fc02784c9e055f53bf

Aliases

arxiv: 1509.01642 · arxiv_version: 1509.01642v1 · doi: 10.48550/arxiv.1509.01642 · pith_short_12: FDT3JOU5JMKU · pith_short_16: FDT3JOU5JMKU64XZ · pith_short_8: FDT3JOU5

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/FDT3JOU5JMKU64XZNLXISJFYWW \
  | 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: 28e7b4ba9d4b154f72f96aee8924b8b5ae2ed4b871cf98fc02784c9e055f53bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b23584168d5ddea4c7511d3fc99f405b756bfab0a5238e6e9a75e726b3a9b613",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-05T00:09:28Z",
    "title_canon_sha256": "8d35b9fab3c6aa68ccd34f138347471203292dd439d20000df5230c2fdc50156"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01642",
    "kind": "arxiv",
    "version": 1
  }
}