Pith Number

pith:PJDXKHQ3

pith:2012:PJDXKHQ3YDCIXYJNUBD4PWUR2N

not attested not anchored not stored refs pending

Possible textures of the fermion mass matrices

Gulsheen Ahuja, Manmohan Gupta

arxiv:1206.3844 v1 · 2012-06-18 · 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{PJDXKHQ3YDCIXYJNUBD4PWUR2N}

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	2026-05-18T01:56:51.877025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a47751e1bc0c48be12da047c7da91d3507fb767e5a62546e33e6625725d9425

Aliases

arxiv: 1206.3844 · arxiv_version: 1206.3844v1 · doi: 10.48550/arxiv.1206.3844 · pith_short_12: PJDXKHQ3YDCI · pith_short_16: PJDXKHQ3YDCIXYJN · pith_short_8: PJDXKHQ3

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/PJDXKHQ3YDCIXYJNUBD4PWUR2N \
  | 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: 7a47751e1bc0c48be12da047c7da91d3507fb767e5a62546e33e6625725d9425

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6f0f3b4e42d4fcbd16a97a6096a9e1c09265d0aa6a86096d2c0fc93a95a005d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-06-18T08:02:24Z",
    "title_canon_sha256": "324a54df84ab46e31c1433edf3f3d6d8982c1d3283564c184e82b11a4587d337"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3844",
    "kind": "arxiv",
    "version": 1
  }
}