Pith Number

pith:4TKW3DSD

pith:2014:4TKW3DSDY3R2EQSTKSC4UB2COP

not attested not anchored not stored refs pending

Detection of knots and a cabling formula for A-polynomials

Xingru Zhang, Yi Ni

arxiv:1411.0353 v1 · 2014-11-03 · 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{4TKW3DSDY3R2EQSTKSC4UB2COP}

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	2026-05-18T00:51:18.941734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4d56d8e43c6e3a242535485ca074273fcdb565d045c0c6484a20a33c9a375e9

Aliases

arxiv: 1411.0353 · arxiv_version: 1411.0353v1 · doi: 10.48550/arxiv.1411.0353 · pith_short_12: 4TKW3DSDY3R2 · pith_short_16: 4TKW3DSDY3R2EQST · pith_short_8: 4TKW3DSD

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/4TKW3DSDY3R2EQSTKSC4UB2COP \
  | 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: e4d56d8e43c6e3a242535485ca074273fcdb565d045c0c6484a20a33c9a375e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7110a9fb04bf1e8d6417c7008b7b1fb91438ddd086239a85b93559acf1e93dd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-11-03T03:52:07Z",
    "title_canon_sha256": "753dd7887a6d46d2f351bc204e7e72182f2a3e939dd364e08d420790ee4fc4f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0353",
    "kind": "arxiv",
    "version": 1
  }
}