Pith Number

pith:EPI44OCW

pith:2016:EPI44OCWE6PNB3NT63UMNADJDB

not attested not anchored not stored refs pending

Intertwining operators and vector-valued modular forms for minimal models

Christopher Marks, Matthew Krauel

arxiv:1612.02134 v1 · 2016-12-07 · math.QA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EPI44OCWE6PNB3NT63UMNADJDB}

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	2026-05-18T00:55:33.728582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23d1ce3856279ed0edb3f6e8c6806918669c5cde82700472a0aab2eec9bc284f

Aliases

arxiv: 1612.02134 · arxiv_version: 1612.02134v1 · doi: 10.48550/arxiv.1612.02134 · pith_short_12: EPI44OCWE6PN · pith_short_16: EPI44OCWE6PNB3NT · pith_short_8: EPI44OCW

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/EPI44OCWE6PNB3NT63UMNADJDB \
  | 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: 23d1ce3856279ed0edb3f6e8c6806918669c5cde82700472a0aab2eec9bc284f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3a284b41331f626f23e47a2fe65ed728ed979434b8b212d2b7e62513c4a3b8d",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-12-07T07:23:46Z",
    "title_canon_sha256": "12de5dcdcd62b841c5c818e59be0eb5e6ba9947b23cae44f86269537cda4c6a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02134",
    "kind": "arxiv",
    "version": 1
  }
}