Pith Number

pith:QI77MOXN

pith:2015:QI77MOXNXYEFR5RFE5B2PIPYO5

not attested not anchored not stored refs pending

Non-Orientable Lagrangian Cobordisms between Legendrian Knots

Lisa Traynor, Orsola Capovilla-Searle

arxiv:1508.02609 v1 · 2015-08-11 · 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{QI77MOXNXYEFR5RFE5B2PIPYO5}

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	2026-05-18T00:56:21.522256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

823ff63aedbe0858f6252743a7a1f877496839988eb5cb2b25aee789e03fbe54

Aliases

arxiv: 1508.02609 · arxiv_version: 1508.02609v1 · doi: 10.48550/arxiv.1508.02609 · pith_short_12: QI77MOXNXYEF · pith_short_16: QI77MOXNXYEFR5RF · pith_short_8: QI77MOXN

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/QI77MOXNXYEFR5RFE5B2PIPYO5 \
  | 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: 823ff63aedbe0858f6252743a7a1f877496839988eb5cb2b25aee789e03fbe54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fac5529f2f66efcfdb0a15974e0ecdd50a6eee53f5743fce9df7f7e1a57be121",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-08-11T14:26:07Z",
    "title_canon_sha256": "52095d399e7940081d19bde2baa40329e1e098c86e16125d6aef848f9b93226d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02609",
    "kind": "arxiv",
    "version": 1
  }
}