Pith Number

pith:4A3D4JJS

pith:2021:4A3D4JJSMRVFFMPPVVMNUGUELT

not attested not anchored not stored refs pending

Lagrangian Cobordisms between Enriched Knot Diagrams

Ipsita Datta

arxiv:2112.10015 v2 · 2021-12-18 · 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{4A3D4JJSMRVFFMPPVVMNUGUELT}

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	2026-07-05T05:08:25.788636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0363e2532646a52b1efad58da1a845cdb800a7eccfa598bbb9353719133a6b2

Aliases

arxiv: 2112.10015 · arxiv_version: 2112.10015v2 · doi: 10.48550/arxiv.2112.10015 · pith_short_12: 4A3D4JJSMRVF · pith_short_16: 4A3D4JJSMRVFFMPP · pith_short_8: 4A3D4JJS

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/4A3D4JJSMRVFFMPPVVMNUGUELT \
  | 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: e0363e2532646a52b1efad58da1a845cdb800a7eccfa598bbb9353719133a6b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cab25b7a62f0e310d4d9829f35a49b032a6449b17bc37e2f833abb8b427155b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2021-12-18T22:25:02Z",
    "title_canon_sha256": "4ce92a88b5c0fae0ce8a9eeb97709a03b8764574971e523cbba0d0c4f69cb38c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.10015",
    "kind": "arxiv",
    "version": 2
  }
}