Pith Number

pith:4WF6EEA6

pith:2014:4WF6EEA63J7HJJ2TWA2CA2LLRG

not attested not anchored not stored refs pending

The AJ-conjecture and cabled knots over torus knots

Dennis Ruppe, Xingru Zhang

arxiv:1403.1858 v1 · 2014-03-07 · 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{4WF6EEA63J7HJJ2TWA2CA2LLRG}

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	2026-05-18T02:56:52.412348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e58be2101eda7e74a753b03420696b899badb755b0273cc09b26317c00fc8135

Aliases

arxiv: 1403.1858 · arxiv_version: 1403.1858v1 · doi: 10.48550/arxiv.1403.1858 · pith_short_12: 4WF6EEA63J7H · pith_short_16: 4WF6EEA63J7HJJ2T · pith_short_8: 4WF6EEA6

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/4WF6EEA63J7HJJ2TWA2CA2LLRG \
  | 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: e58be2101eda7e74a753b03420696b899badb755b0273cc09b26317c00fc8135

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c7de785fcf863fa5477fd36c39edaba8f42a8feed8a2a8597e399cc3d01b41c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-03-07T20:00:18Z",
    "title_canon_sha256": "ae06668d8abacaa88c9aa77a887143f0c53ce9740bb11b588e69cbf66efd1d81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1858",
    "kind": "arxiv",
    "version": 1
  }
}