Pith Number

pith:WM3NYSYV

pith:2016:WM3NYSYVYNA4I4SY4VNFZROYT5

not attested not anchored not stored refs pending

A generalization of intertwining operators for vertex operator algebras

Kenichiro Tanabe

arxiv:1603.01326 v2 · 2016-03-04 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WM3NYSYVYNA4I4SY4VNFZROYT5}

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	2026-05-18T00:34:44.910138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b336dc4b15c341c47258e55a5cc5d89f4c03475a73a0312975e4f5c822bf2c02

Aliases

arxiv: 1603.01326 · arxiv_version: 1603.01326v2 · doi: 10.48550/arxiv.1603.01326 · pith_short_12: WM3NYSYVYNA4 · pith_short_16: WM3NYSYVYNA4I4SY · pith_short_8: WM3NYSYV

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/WM3NYSYVYNA4I4SY4VNFZROYT5 \
  | 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: b336dc4b15c341c47258e55a5cc5d89f4c03475a73a0312975e4f5c822bf2c02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56dc6646b0215d21711219f884ffcbb3c9f8cec0e2318ff230cfcdf1640f4dae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-03-04T01:57:18Z",
    "title_canon_sha256": "5f1dc17ec3cf7b087899ea977bca1f80a06a5ae8de07bd0b3a4344fe2b110285"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01326",
    "kind": "arxiv",
    "version": 2
  }
}