Pith Number

pith:L4ID7XDI

pith:2011:L4ID7XDIVD757ETD2PPZACUKPL

not attested not anchored not stored refs pending

A combinatorial DGA for Legendrian knots from generating families

Dan Rutherford, Michael B. Henry

arxiv:1106.3357 v2 · 2011-06-16 · 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{L4ID7XDIVD757ETD2PPZACUKPL}

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	2026-05-18T02:21:43.896084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f103fdc68a8ffdf9263d3df900a8a7ac02c47af369b7a7c4c85f4de5583c8fd

Aliases

arxiv: 1106.3357 · arxiv_version: 1106.3357v2 · doi: 10.48550/arxiv.1106.3357 · pith_short_12: L4ID7XDIVD75 · pith_short_16: L4ID7XDIVD757ETD · pith_short_8: L4ID7XDI

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/L4ID7XDIVD757ETD2PPZACUKPL \
  | 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: 5f103fdc68a8ffdf9263d3df900a8a7ac02c47af369b7a7c4c85f4de5583c8fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64e1176812f2c48e8f0684023ea7c8a5e6e4a3ff264df87eb57d0a7a63fe81d2",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-06-16T21:37:32Z",
    "title_canon_sha256": "96271bab5bfe5cef8bf4e04c9324b8073881369c6e7e551ed500bd65943a75cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3357",
    "kind": "arxiv",
    "version": 2
  }
}