Pith Number

pith:4TJYJQSY

pith:2010:4TJYJQSYJ46YFZVX7YKO4Y3BI6

not attested not anchored not stored refs pending

Flavor unification, dark matter, proton decay and other observable predictions with low-scale $S_4$ symmetry

Kalpana Bora, Mina K. Parida, Pradip K. Sahu

arxiv:1011.4577 v4 · 2010-11-20 · hep-ph · astro-ph.HE · hep-ex · nucl-ex · nucl-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{4TJYJQSYJ46YFZVX7YKO4Y3BI6}

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	2026-05-18T04:21:51.595776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4d384c2584f3d82e6b7fe14ee63614793a1492a35f3beccc656d43596841d54

Aliases

arxiv: 1011.4577 · arxiv_version: 1011.4577v4 · doi: 10.48550/arxiv.1011.4577 · pith_short_12: 4TJYJQSYJ46Y · pith_short_16: 4TJYJQSYJ46YFZVX · pith_short_8: 4TJYJQSY

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/4TJYJQSYJ46YFZVX7YKO4Y3BI6 \
  | 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: e4d384c2584f3d82e6b7fe14ee63614793a1492a35f3beccc656d43596841d54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d7c665fda1e83b8e948ada996ca597d62826ed903ad3e304ec8589aae4b5e11",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-ex",
      "nucl-ex",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-11-20T12:27:44Z",
    "title_canon_sha256": "4b1d1ac50cb33f856406f67b8404ab36405192c8e5e01a7ccd8a77d67a252d8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4577",
    "kind": "arxiv",
    "version": 4
  }
}