Pith Number

pith:WOTHNLQF

pith:2019:WOTHNLQFPJEOBBETAYZSYLCMVC

not attested not anchored not stored refs pending

A complete derived invariant for gentle algebras via winding numbers and Arf invariants

Claire Amiot, Pierre-Guy Plamondon, Sibylle Schroll

arxiv:1904.02555 v3 · 2019-04-04 · math.RT · 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{WOTHNLQFPJEOBBETAYZSYLCMVC}

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	2026-05-17T23:48:49.906239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3a676ae057a48e0849306332c2c4ca89c650485d7328996cddc4d0770ea5da6

Aliases

arxiv: 1904.02555 · arxiv_version: 1904.02555v3 · doi: 10.48550/arxiv.1904.02555 · pith_short_12: WOTHNLQFPJEO · pith_short_16: WOTHNLQFPJEOBBET · pith_short_8: WOTHNLQF

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/WOTHNLQFPJEOBBETAYZSYLCMVC \
  | 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: b3a676ae057a48e0849306332c2c4ca89c650485d7328996cddc4d0770ea5da6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "593d2d79f34cd5f0106754c2d623e03a38c8c0b2c01838980ec3b396a4218af5",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-04-04T13:44:40Z",
    "title_canon_sha256": "238268fb6b0556fd14cad0d24dac73d73f65803d739b8e8fae6dec9ac967dd55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.02555",
    "kind": "arxiv",
    "version": 3
  }
}