Pith Number

pith:G3ABQ4EH

pith:2005:G3ABQ4EHBLSYNNRGSH4QBEG4C4

not attested not anchored not stored refs pending

Grand Unification with Higher Rank Product Groups

Erik Kramer

arxiv:hep-th/0501224 v1 · 2005-01-27 · 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{G3ABQ4EHBLSYNNRGSH4QBEG4C4}

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	2026-07-04T14:32:21.691368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36c01870870ae586b62691f90090dc17052effa20cf1b0c57844b0e7832da63b

Aliases

arxiv: hep-th/0501224 · arxiv_version: hep-th/0501224v1 · doi: 10.48550/arxiv.hep-th/0501224 · pith_short_12: G3ABQ4EHBLSY · pith_short_16: G3ABQ4EHBLSYNNRG · pith_short_8: G3ABQ4EH

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/G3ABQ4EHBLSYNNRGSH4QBEG4C4 \
  | 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: 36c01870870ae586b62691f90090dc17052effa20cf1b0c57844b0e7832da63b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c190faccea72685074042774fd1995ff6cc30f10df8a75e7273394f8e760570f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-01-27T21:40:45Z",
    "title_canon_sha256": "9ed62e3cab6f6370a1116ea9b600d2222ab88fd3da8063c7d44456ccce22ee0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0501224",
    "kind": "arxiv",
    "version": 1
  }
}