Pith Number

pith:D7OEWTD7

pith:2013:D7OEWTD7EDRE3B46Q477ABVUDN

not attested not anchored not stored refs pending

Umbral Moonshine and the Niemeier Lattices

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

arxiv:1307.5793 v2 · 2013-07-22 · math.RT · hep-th · 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{D7OEWTD7EDRE3B46Q477ABVUDN}

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.

Cited by

1 paper in Pith

$c_{\rm eff}$ from Resurgence at the Stokes Line

Receipt and verification

First computed	2026-05-18T02:47:07.792799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fdc4b4c7f20e24d879e873ff006b41b49d2e94e2c8d927ecf72d370ef7ff87e

Aliases

arxiv: 1307.5793 · arxiv_version: 1307.5793v2 · doi: 10.48550/arxiv.1307.5793 · pith_short_12: D7OEWTD7EDRE · pith_short_16: D7OEWTD7EDRE3B46 · pith_short_8: D7OEWTD7

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/D7OEWTD7EDRE3B46Q477ABVUDN \
  | 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: 1fdc4b4c7f20e24d879e873ff006b41b49d2e94e2c8d927ecf72d370ef7ff87e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cea485dbfd1861d80155db4e2d45b4b1d55beb0ab4bcfc3944d8902fc0401749",
    "cross_cats_sorted": [
      "hep-th",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-07-22T17:33:22Z",
    "title_canon_sha256": "266db0b283cc31d8f306d178b6f350161a17e9a4a414b7432118417a3d9f63e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5793",
    "kind": "arxiv",
    "version": 2
  }
}