Pith Number

pith:IX42DZ35

pith:2016:IX42DZ35UM3FMMCXVM7T3QET7L

not attested not anchored not stored refs pending

One-point theta functions for vertex operator algebras

Matthew Krauel

arxiv:1612.02117 v2 · 2016-12-07 · 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{IX42DZ35UM3FMMCXVM7T3QET7L}

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	2026-05-18T00:39:06.885113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45f9a1e77da336563057ab3f3dc093fac826c3fc08184318585deab000197a92

Aliases

arxiv: 1612.02117 · arxiv_version: 1612.02117v2 · doi: 10.48550/arxiv.1612.02117 · pith_short_12: IX42DZ35UM3F · pith_short_16: IX42DZ35UM3FMMCX · pith_short_8: IX42DZ35

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/IX42DZ35UM3FMMCXVM7T3QET7L \
  | 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: 45f9a1e77da336563057ab3f3dc093fac826c3fc08184318585deab000197a92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1392b6611bd9e65956a6d6957e75a15eac0db5fadeef186880f96752ca9ad85f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-12-07T05:28:30Z",
    "title_canon_sha256": "e754e6b631851f76958b4509c724fec9ee379108c220268827cd8a6e554d40c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02117",
    "kind": "arxiv",
    "version": 2
  }
}