Pith Number

pith:QWGPWYAX

pith:2026:QWGPWYAXR7J66MEW4BOEHZT42H

not attested not anchored not stored refs pending

A topological classification of generating functions

Sylvain Courte, Vivek Shende

arxiv:2606.00687 v1 · 2026-05-30 · 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{QWGPWYAXR7J66MEW4BOEHZT42H}

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	2026-06-02T01:04:02.719884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

858cfb60178fd3ef3096e05c43e67cd1fed242c6f2fc046e9842d792a8fedf3a

Aliases

arxiv: 2606.00687 · arxiv_version: 2606.00687v1 · doi: 10.48550/arxiv.2606.00687 · pith_short_12: QWGPWYAXR7J6 · pith_short_16: QWGPWYAXR7J66MEW · pith_short_8: QWGPWYAX

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/QWGPWYAXR7J66MEW4BOEHZT42H \
  | 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: 858cfb60178fd3ef3096e05c43e67cd1fed242c6f2fc046e9842d792a8fedf3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "790e3a9b203214feeec54abdde4026f882cb6edc5f9fa8d4a1e0dac07027afaa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2026-05-30T11:49:51Z",
    "title_canon_sha256": "911952bc241611e34d71425c6f53f5c1091cd62d4f59123c97cd76fee7f2cec0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00687",
    "kind": "arxiv",
    "version": 1
  }
}