Pith Number

pith:CPJJBNHN

pith:2016:CPJJBNHN7UECBN4JRF3X4FC3DO

not attested not anchored not stored refs pending

3D String Theory and Umbral Moonshine

Natalie M. Paquette, Roberto Volpato, Shamit Kachru

arxiv:1603.07330 v2 · 2016-03-23 · 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{CPJJBNHN7UECBN4JRF3X4FC3DO}

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	2026-05-18T00:33:23.863229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13d290b4edfd0820b78989777e145b1b9df0603f9d22746947277c176abb9ef6

Aliases

arxiv: 1603.07330 · arxiv_version: 1603.07330v2 · doi: 10.48550/arxiv.1603.07330 · pith_short_12: CPJJBNHN7UEC · pith_short_16: CPJJBNHN7UECBN4J · pith_short_8: CPJJBNHN

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/CPJJBNHN7UECBN4JRF3X4FC3DO \
  | 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: 13d290b4edfd0820b78989777e145b1b9df0603f9d22746947277c176abb9ef6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1011720156763e1442ce801b0bc92d676a4b313698ddf6d3252aa3eedad5f0f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-03-23T20:00:00Z",
    "title_canon_sha256": "05b7f376b68877b9ccf6f5be4aa75a50b4d41a90c51a097fb3d2cd8c9bb52b7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07330",
    "kind": "arxiv",
    "version": 2
  }
}