Pith Number

pith:5KXHKWN6

pith:2013:5KXHKWN6H2W5M47QDQTM3XBO4X

not attested not anchored not stored refs pending

The Lagrangian cobordism group of $T^2$

Luis Haug

arxiv:1310.8056 v3 · 2013-10-30 · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5KXHKWN6H2W5M47QDQTM3XBO4X}

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	2026-05-18T01:36:41.782029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaae7559be3eadd673f01c26cddc2ee5e1b442cf8c23d4f57ceb85b6c331e7b1

Aliases

arxiv: 1310.8056 · arxiv_version: 1310.8056v3 · doi: 10.48550/arxiv.1310.8056 · pith_short_12: 5KXHKWN6H2W5 · pith_short_16: 5KXHKWN6H2W5M47Q · pith_short_8: 5KXHKWN6

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/5KXHKWN6H2W5M47QDQTM3XBO4X \
  | 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: eaae7559be3eadd673f01c26cddc2ee5e1b442cf8c23d4f57ceb85b6c331e7b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30349154a89e50f2a1cefa2d50311dc548a237da8be6a59a724032423014ef2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-10-30T08:04:47Z",
    "title_canon_sha256": "c5a5d854b02729f3a7943a4a782ef68d1a8424ffd9fa9d34f94b1b72cf5582bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8056",
    "kind": "arxiv",
    "version": 3
  }
}