Pith Number

pith:YJ3ETS3J

pith:2010:YJ3ETS3JIB2E4ZKA2QPPI36RES

not attested not anchored not stored refs pending

Legendrian Contact Homology in Seifert Fibered Spaces

Joan E. Licata, Joshua M. Sabloff

arxiv:1012.2421 v1 · 2010-12-11 · 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{YJ3ETS3JIB2E4ZKA2QPPI36RES}

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	2026-05-18T04:33:28.656188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c27649cb6940744e6540d41ef46fd12486b3a01d9da6baac91f115cc6d19a0c1

Aliases

arxiv: 1012.2421 · arxiv_version: 1012.2421v1 · doi: 10.48550/arxiv.1012.2421 · pith_short_12: YJ3ETS3JIB2E · pith_short_16: YJ3ETS3JIB2E4ZKA · pith_short_8: YJ3ETS3J

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/YJ3ETS3JIB2E4ZKA2QPPI36RES \
  | 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: c27649cb6940744e6540d41ef46fd12486b3a01d9da6baac91f115cc6d19a0c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc69882362db0b61a266fd16dc35d278768c804210429aa58c0db507aa7e88ef",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-12-11T02:08:35Z",
    "title_canon_sha256": "35103c0c00451feb7654fd0c5fe300cda6799aa021c6ba13bd2e046b189a9d23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2421",
    "kind": "arxiv",
    "version": 1
  }
}