Pith Number

pith:CEAXCPJK

pith:2011:CEAXCPJKSLM3QT2LNTFVD52SG4

not attested not anchored not stored refs pending

Lagrangian Cobordism I

Octav Cornea, Paul Biran

arxiv:1109.4984 v2 · 2011-09-23 · 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{CEAXCPJKSLM3QT2LNTFVD52SG4}

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	2026-05-18T02:21:36.355398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1101713d2a92d9b84f4b6ccb51f752370ed00dc0c92f7ec263c65ac5dace1c2d

Aliases

arxiv: 1109.4984 · arxiv_version: 1109.4984v2 · doi: 10.48550/arxiv.1109.4984 · pith_short_12: CEAXCPJKSLM3 · pith_short_16: CEAXCPJKSLM3QT2L · pith_short_8: CEAXCPJK

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/CEAXCPJKSLM3QT2LNTFVD52SG4 \
  | 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: 1101713d2a92d9b84f4b6ccb51f752370ed00dc0c92f7ec263c65ac5dace1c2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "539336f905732b89d84c589c4cdccd1b287c44c6e8d463baf7337f0afcb7bc6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-09-23T01:37:20Z",
    "title_canon_sha256": "1bcf1f2c041ffb28792977ff936ff6f402f22f8d3286cd668204d4c18cf6cdbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4984",
    "kind": "arxiv",
    "version": 2
  }
}