Pith Number

pith:TJCGIE7C

pith:2013:TJCGIE7CCRW2K3DIJNMN5S5BHG

not attested not anchored not stored refs pending

Legendrian torus knots in S^1\times S^2

Fan Ding, Feifei Chen, Youlin Li

arxiv:1310.1535 v1 · 2013-10-06 · 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{TJCGIE7CCRW2K3DIJNMN5S5BHG}

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	2026-05-18T03:11:11.614032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a446413e2146da56c684b58decba139bc1058c4f08288a7f84786b6cec1d83a

Aliases

arxiv: 1310.1535 · arxiv_version: 1310.1535v1 · doi: 10.48550/arxiv.1310.1535 · pith_short_12: TJCGIE7CCRW2 · pith_short_16: TJCGIE7CCRW2K3DI · pith_short_8: TJCGIE7C

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/TJCGIE7CCRW2K3DIJNMN5S5BHG \
  | 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: 9a446413e2146da56c684b58decba139bc1058c4f08288a7f84786b6cec1d83a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "033547d4a8286754ce954345c338e78694020360ccbd02d44039129fbbdb2176",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-10-06T03:45:27Z",
    "title_canon_sha256": "241efc3c679b49839522eecf4876cec321f1a3ef253ca425e57331f0d2e2806a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1535",
    "kind": "arxiv",
    "version": 1
  }
}