Pith Number

pith:IX3GLJK2

pith:2002:IX3GLJK22IPF24FIQMIENN5LXX

not attested not anchored not stored refs pending

Modular symmetry, twisted sectors and flavour

Thomas Dent (MCTP, University of Michigan)

arxiv:hep-ph/0208164 v1 · 2002-08-16 · hep-ph · 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{IX3GLJK22IPF24FIQMIENN5LXX}

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	2026-05-18T00:37:29.210726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45f665a55ad21e5d70a8831046b7abbde34364cfe5c1bd1635df4ac6db97ad17

Aliases

arxiv: hep-ph/0208164 · arxiv_version: hep-ph/0208164v1 · doi: 10.48550/arxiv.hep-ph/0208164 · pith_short_12: IX3GLJK22IPF · pith_short_16: IX3GLJK22IPF24FI · pith_short_8: IX3GLJK2

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/IX3GLJK22IPF24FIQMIENN5LXX \
  | 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: 45f665a55ad21e5d70a8831046b7abbde34364cfe5c1bd1635df4ac6db97ad17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96adb5f10c55eaef28db912b3f5cf1eb490dda6068e8bc5d8617144569923a61",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-08-16T20:03:07Z",
    "title_canon_sha256": "a2b7114a34e015fc3f33c39e890d704e9faef3e8453d95ca6cfbbde561ce6b4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0208164",
    "kind": "arxiv",
    "version": 1
  }
}