Pith Number

pith:Q66EGUDV

pith:2017:Q66EGUDVQLVKXOGJ52SK4WCKSO

not attested not anchored not stored refs pending

A bound for rational Thurston-Bennequin invariants

Youlin Li, Zhongtao Wu

arxiv:1705.09440 v2 · 2017-05-26 · 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{Q66EGUDVQLVKXOGJ52SK4WCKSO}

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	2026-05-18T00:38:13.570437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87bc43507582eaabb8c9eea4ae584a93a11ba1b552d8182a6b19f95dbd597c1c

Aliases

arxiv: 1705.09440 · arxiv_version: 1705.09440v2 · doi: 10.48550/arxiv.1705.09440 · pith_short_12: Q66EGUDVQLVK · pith_short_16: Q66EGUDVQLVKXOGJ · pith_short_8: Q66EGUDV

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/Q66EGUDVQLVKXOGJ52SK4WCKSO \
  | 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: 87bc43507582eaabb8c9eea4ae584a93a11ba1b552d8182a6b19f95dbd597c1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e59a3576d91357483e8367f9fbb1f8c9729215318b9b7ed7ddc6057c6839a677",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-05-26T05:56:08Z",
    "title_canon_sha256": "03a577745e2218cbc06f5909e35b186a0d124f41e6ef366b3fdd9738c34c79ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09440",
    "kind": "arxiv",
    "version": 2
  }
}