Pith Number

pith:KK4A7JHX

pith:2013:KK4A7JHXFDO2UNMVWVJ7R2XMXY

not attested not anchored not stored refs pending

A note on exact Lagrangian cobordisms with disconnected Legendrian ends

Baptiste Chantraine

arxiv:1301.6903 v2 · 2013-01-29 · 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{KK4A7JHXFDO2UNMVWVJ7R2XMXY}

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	2026-05-18T03:19:04.487896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52b80fa4f728ddaa3595b553f8eaecbe132ba5a65a278ceff9c0997e0b7c4399

Aliases

arxiv: 1301.6903 · arxiv_version: 1301.6903v2 · doi: 10.48550/arxiv.1301.6903 · pith_short_12: KK4A7JHXFDO2 · pith_short_16: KK4A7JHXFDO2UNMV · pith_short_8: KK4A7JHX

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/KK4A7JHXFDO2UNMVWVJ7R2XMXY \
  | 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: 52b80fa4f728ddaa3595b553f8eaecbe132ba5a65a278ceff9c0997e0b7c4399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "967a77ef54afa24e7b103793d0f7dc3ead2c2a084e4bdb390ded97c36b16e05a",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-01-29T12:18:10Z",
    "title_canon_sha256": "d03acd9334768193a3ca7c576d67d54cdb53c2957b212c35d3cf56d00ecc1e69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6903",
    "kind": "arxiv",
    "version": 2
  }
}