Pith Number

pith:TQHM6DLW

pith:2014:TQHM6DLWMROUGTRFZ42IXF36J4

not attested not anchored not stored refs pending

Ribbon graphs and bialgebra of Lagrangian subspaces

Evgeny Smirnov, Victor Kleptsyn

arxiv:1401.6160 v3 · 2014-01-23 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQHM6DLWMROUGTRFZ42IXF36J4}

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	2026-05-18T01:04:00.552656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c0ecf0d76645d434e25cf348b977e4f36a79d0f2036b7f3cdb65e45762ff202

Aliases

arxiv: 1401.6160 · arxiv_version: 1401.6160v3 · doi: 10.48550/arxiv.1401.6160 · pith_short_12: TQHM6DLWMROU · pith_short_16: TQHM6DLWMROUGTRF · pith_short_8: TQHM6DLW

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/TQHM6DLWMROUGTRFZ42IXF36J4 \
  | 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: 9c0ecf0d76645d434e25cf348b977e4f36a79d0f2036b7f3cdb65e45762ff202

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adbab3ea142a766e17e83766ecd912e622bb70918de6ad95f8f787404cedc72a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-01-23T20:51:22Z",
    "title_canon_sha256": "f4d91c482fc436529cc7229c3b986cc3ce70f80c8c5568df3dc4f39e3d86f436"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6160",
    "kind": "arxiv",
    "version": 3
  }
}