Pith Number

pith:RVZCADUQ

pith:2017:RVZCADUQQYLEHRHAUI4NMVU5AR

not attested not anchored not stored refs pending

Meromorphic Jacobi Forms of Half-Integral Index and Umbral Moonshine Modules

John F. R. Duncan, Miranda C. N. Cheng

arxiv:1707.01336 v1 · 2017-07-05 · math.RT · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RVZCADUQQYLEHRHAUI4NMVU5AR}

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	2026-05-18T00:40:12.654597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d72200e90861643c4e0a238d6569d045bc0c4b41c420ea183b8d24e105c7116

Aliases

arxiv: 1707.01336 · arxiv_version: 1707.01336v1 · doi: 10.48550/arxiv.1707.01336 · pith_short_12: RVZCADUQQYLE · pith_short_16: RVZCADUQQYLEHRHA · pith_short_8: RVZCADUQ

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/RVZCADUQQYLEHRHAUI4NMVU5AR \
  | 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: 8d72200e90861643c4e0a238d6569d045bc0c4b41c420ea183b8d24e105c7116

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "145d24f8f19a3ea1cacc4383edd00f35950eca1a4402b64b3f8721ad8f27d25b",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-07-05T11:56:27Z",
    "title_canon_sha256": "6716f9d26ebb61a5c0a942ac9200e039fffe44a5bd786a6130b09f510e31c1ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01336",
    "kind": "arxiv",
    "version": 1
  }
}