Pith Number

pith:BGRR7BPX

pith:2019:BGRR7BPX65RIQ7MGAPS6QI7KZP

not attested not anchored not stored refs pending

Toroidal prefactorization algebras associated to holomorphic fibrations and a relationship to vertex algebras

Brian Williams, Jackson Walters, Matt Szczesny

arxiv:1904.03176 v1 · 2019-04-05 · math.QA · math-ph · math.AG · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BGRR7BPX65RIQ7MGAPS6QI7KZP}

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	2026-05-17T23:49:18.344403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09a31f85f7f762887d8603e5e823eacbc5bdb9211683a0f544411638c1c5de41

Aliases

arxiv: 1904.03176 · arxiv_version: 1904.03176v1 · doi: 10.48550/arxiv.1904.03176 · pith_short_12: BGRR7BPX65RI · pith_short_16: BGRR7BPX65RIQ7MG · pith_short_8: BGRR7BPX

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/BGRR7BPX65RIQ7MGAPS6QI7KZP \
  | 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: 09a31f85f7f762887d8603e5e823eacbc5bdb9211683a0f544411638c1c5de41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79366723c96df6a4a4ff11c0dc763e3ccc5303cb149965e4f17da748b1d14674",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2019-04-05T17:50:57Z",
    "title_canon_sha256": "cbd489eaf2b8eecd7675327eb633b102f40c072293ab6d97d3891155e328b91d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.03176",
    "kind": "arxiv",
    "version": 1
  }
}