Pith Number

pith:2IN6CGUA

pith:2021:2IN6CGUAKCALMB2FI4USO2XW4X

not attested not anchored not stored refs pending

$SU(5)$ GUTs with $A_4$ modular symmetry

Gui-Jun Ding, Peng Chen, Stephen F. King

arxiv:2101.12724 v1 · 2021-01-29 · 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{2IN6CGUAKCALMB2FI4USO2XW4X}

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	2026-07-05T02:39:13.561974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d21be11a805080b607454729276af6e5dc3ff27073241453e9ddbf1e608c84b8

Aliases

arxiv: 2101.12724 · arxiv_version: 2101.12724v1 · doi: 10.48550/arxiv.2101.12724 · pith_short_12: 2IN6CGUAKCAL · pith_short_16: 2IN6CGUAKCALMB2F · pith_short_8: 2IN6CGUA

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/2IN6CGUAKCALMB2FI4USO2XW4X \
  | 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: d21be11a805080b607454729276af6e5dc3ff27073241453e9ddbf1e608c84b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8df02d1956fc388fc122f39f66d4a06150ec10129d5086f989c3d025ee6b0c9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-01-29T18:35:30Z",
    "title_canon_sha256": "8e5b909669c3cf3de211fd55482be396ea96ed14687dce73a6afa3b17b11a4e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.12724",
    "kind": "arxiv",
    "version": 1
  }
}