Pith Number

pith:3X3DZEGW

pith:2012:3X3DZEGWCZGISIL72KPFTKG2YU

not attested not anchored not stored refs pending

The Surgery Unknotting Number of Legendrian Links

A. Bianca Boranda, Lisa Traynor, Shuning Yan

arxiv:1206.6249 v1 · 2012-06-27 · math.SG · 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{3X3DZEGWCZGISIL72KPFTKG2YU}

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	2026-05-18T01:22:26.530711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddf63c90d6164c89217fd29e59a8dac503b5ecefa8660d35820e49caf531a522

Aliases

arxiv: 1206.6249 · arxiv_version: 1206.6249v1 · doi: 10.48550/arxiv.1206.6249 · pith_short_12: 3X3DZEGWCZGI · pith_short_16: 3X3DZEGWCZGISIL7 · pith_short_8: 3X3DZEGW

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/3X3DZEGWCZGISIL72KPFTKG2YU \
  | 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: ddf63c90d6164c89217fd29e59a8dac503b5ecefa8660d35820e49caf531a522

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7e0023bbd086ae529530eb3fd4565b27223c404cadd3016d2c86e9d152310a7",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-06-27T12:53:37Z",
    "title_canon_sha256": "03bdd9ba9e397b651557af116dd1ce92dbc6d2a3689bb57f6b0621feb93ddc1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6249",
    "kind": "arxiv",
    "version": 1
  }
}