Pith Number

pith:AHZFW5UL

pith:2006:AHZFW5ULA4PGLINDFF5JNQL4AT

not attested not anchored not stored refs pending

Lagrangian concordance of Legendrian knots

Baptiste Chantraine

arxiv:math/0611848 v3 · 2006-11-28 · math.SG · math.AT · 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{AHZFW5ULA4PGLINDFF5JNQL4AT}

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	2026-05-18T02:41:26.670397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01f25b768b071e65a1a3297a96c17c04f47ec835f36534b655b3bf7cc32a672b

Aliases

arxiv: math/0611848 · arxiv_version: math/0611848v3 · doi: 10.48550/arxiv.math/0611848 · pith_short_12: AHZFW5ULA4PG · pith_short_16: AHZFW5ULA4PGLIND · pith_short_8: AHZFW5UL

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/AHZFW5ULA4PGLINDFF5JNQL4AT \
  | 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: 01f25b768b071e65a1a3297a96c17c04f47ec835f36534b655b3bf7cc32a672b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0cedd85a5f72c6c6e48c792ff4b55aa5f831e07b643763647b237abff8d08fb",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2006-11-28T13:18:15Z",
    "title_canon_sha256": "97559253c889ee4e11fdb09ea104632c5cd33a8cf62f5344a26379aa6552cfd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611848",
    "kind": "arxiv",
    "version": 3
  }
}