Pith Number

pith:X2JWB6GG

pith:2010:X2JWB6GGWMISDLHTKLRLJFLMMG

not attested not anchored not stored refs pending

Investigating texture six zero lepton mass matrices

Manmohan Gupta, Monika Randhawa, Neelu Mahajan, P.S. Gill

arxiv:1010.5640 v2 · 2010-10-27 · 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{X2JWB6GGWMISDLHTKLRLJFLMMG}

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	2026-05-18T03:15:45.695398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be9360f8c6b31121acf352e2b4956c61bad5ec38dec2a0f1fc46eb77ed15fa74

Aliases

arxiv: 1010.5640 · arxiv_version: 1010.5640v2 · doi: 10.48550/arxiv.1010.5640 · pith_short_12: X2JWB6GGWMIS · pith_short_16: X2JWB6GGWMISDLHT · pith_short_8: X2JWB6GG

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/X2JWB6GGWMISDLHTKLRLJFLMMG \
  | 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: be9360f8c6b31121acf352e2b4956c61bad5ec38dec2a0f1fc46eb77ed15fa74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba9a504ef461eab5bd57317946a67a513c66fdafd79534ab602e599d091e3e6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-10-27T10:35:15Z",
    "title_canon_sha256": "119c4f1bbd17a18e9b07d2e153325f2185f10b01440740998c9e3c41a6ac3391"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5640",
    "kind": "arxiv",
    "version": 2
  }
}