Pith Number

pith:VNA226WG

pith:2017:VNA226WGPE3CBZV6IWELGEDWD5

not attested not anchored not stored refs pending

Weight One Jacobi Forms and Umbral Moonshine

Jeffrey A. Harvey, John F. R. Duncan, Miranda C. N. Cheng

arxiv:1703.03968 v1 · 2017-03-11 · math.NT · 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{VNA226WGPE3CBZV6IWELGEDWD5}

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	2026-05-18T00:21:28.676212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab41ad7ac6793620e6be4588b310761f6cb21345c05f5adcc5f3b703c56c5602

Aliases

arxiv: 1703.03968 · arxiv_version: 1703.03968v1 · doi: 10.48550/arxiv.1703.03968 · pith_short_12: VNA226WGPE3C · pith_short_16: VNA226WGPE3CBZV6 · pith_short_8: VNA226WG

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/VNA226WGPE3CBZV6IWELGEDWD5 \
  | 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: ab41ad7ac6793620e6be4588b310761f6cb21345c05f5adcc5f3b703c56c5602

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d14a8f126b0725335b7008b9e15fa1e8d977ede57a93be84d13116ee0c13365",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-11T13:02:19Z",
    "title_canon_sha256": "777c01c5beaed8d1420c2cbf495d841a3f4a8b68b905b80bf64515398940478a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03968",
    "kind": "arxiv",
    "version": 1
  }
}