Pith Number

pith:PZGB4KNT

pith:2018:PZGB4KNTOGJ6E667OZBGOVC3UK

not attested not anchored not stored refs pending

Contact (+1)-surgeries along Legendrian Two-component Links

Fan Ding, Youlin Li, Zhongtao Wu

arxiv:1801.02180 v3 · 2018-01-07 · 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{PZGB4KNTOGJ6E667OZBGOVC3UK}

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	2026-05-17T23:51:34.224537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e4c1e29b37193e27bdf764267545ba2806790aa0da646b1c52dcf649938e3e2

Aliases

arxiv: 1801.02180 · arxiv_version: 1801.02180v3 · doi: 10.48550/arxiv.1801.02180 · pith_short_12: PZGB4KNTOGJ6 · pith_short_16: PZGB4KNTOGJ6E667 · pith_short_8: PZGB4KNT

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/PZGB4KNTOGJ6E667OZBGOVC3UK \
  | 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: 7e4c1e29b37193e27bdf764267545ba2806790aa0da646b1c52dcf649938e3e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d64adc842239ebb8621fecd017c1fcb7c8a13779f9476557aff919e6c5eeeaae",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-01-07T12:29:13Z",
    "title_canon_sha256": "98fbc038b8ab3f31db44d5b492766924fe93d4a9f9d61e98841693a71c2f6aca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02180",
    "kind": "arxiv",
    "version": 3
  }
}