Pith Number

pith:4BD4QQZW

pith:2002:4BD4QQZWAPYPFTD7RDENVBBD3M

not attested not anchored not stored refs pending

Modular Invariant Anomalous U(1) Breaking

Joel Giedt, Mary K. Gaillard

arxiv:hep-th/0204100 v2 · 2002-04-11 · hep-th · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4BD4QQZWAPYPFTD7RDENVBBD3M}

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	2026-05-18T02:36:10.960063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e047c8433603f0f2cc7f88c8da8423db1ff28fa3006139d20b070b976db3ea1a

Aliases

arxiv: hep-th/0204100 · arxiv_version: hep-th/0204100v2 · doi: 10.48550/arxiv.hep-th/0204100 · pith_short_12: 4BD4QQZWAPYP · pith_short_16: 4BD4QQZWAPYPFTD7 · pith_short_8: 4BD4QQZW

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/4BD4QQZWAPYPFTD7RDENVBBD3M \
  | 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: e047c8433603f0f2cc7f88c8da8423db1ff28fa3006139d20b070b976db3ea1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53f9ced068c448f090957796bd73514870a25c25e43ea803cb1776e8ea080563",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-04-11T23:09:39Z",
    "title_canon_sha256": "89ea8e5ef4d43b8adc1e871e4f960d5875872abd830f855fd7aa5b15b210f6a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0204100",
    "kind": "arxiv",
    "version": 2
  }
}