Pith Number

pith:P4FUYY3Q

pith:2004:P4FUYY3QOUXLRH5AEFHPI5P4TW

not attested not anchored not stored refs pending

Landscape Cartography: A Coarse Survey of Gauge Group Rank and Stabilization of the Proton

James D. Wells, Jason Kumar

arxiv:hep-th/0409218 v2 · 2004-09-22 · 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{P4FUYY3QOUXLRH5AEFHPI5P4TW}

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	2026-05-18T04:35:23.031716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f0b4c6370752eb89fa0214ef475fc9dab09f5597824cadc799ccb155ab6bc43

Aliases

arxiv: hep-th/0409218 · arxiv_version: hep-th/0409218v2 · doi: 10.48550/arxiv.hep-th/0409218 · pith_short_12: P4FUYY3QOUXL · pith_short_16: P4FUYY3QOUXLRH5A · pith_short_8: P4FUYY3Q

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/P4FUYY3QOUXLRH5AEFHPI5P4TW \
  | 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: 7f0b4c6370752eb89fa0214ef475fc9dab09f5597824cadc799ccb155ab6bc43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2776d42cc7f8813971580fb11f2bbab3936adb2925b7ad8749fb2a4d5faadd76",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-09-22T04:07:23Z",
    "title_canon_sha256": "8f2165b04e92a15504e59e5d66cad0cfbe33cd44b2ac3a87dad327ecd4ac36f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0409218",
    "kind": "arxiv",
    "version": 2
  }
}