Pith Number

pith:KBQCYWVB

pith:2015:KBQCYWVB2YD2KPGGN22RHDLBBS

not attested not anchored not stored refs pending

Discrete Flavour Symmetries from the Heisenberg Group

E.G. Floratos, G.K. Leontaris

arxiv:1511.01875 v1 · 2015-11-05 · hep-th · hep-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KBQCYWVB2YD2KPGGN22RHDLBBS}

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	2026-05-18T01:18:41.770760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50602c5aa1d607a53cc66eb5138d610c9376ab4540255f26a1848ac92092acf4

Aliases

arxiv: 1511.01875 · arxiv_version: 1511.01875v1 · doi: 10.48550/arxiv.1511.01875 · pith_short_12: KBQCYWVB2YD2 · pith_short_16: KBQCYWVB2YD2KPGG · pith_short_8: KBQCYWVB

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/KBQCYWVB2YD2KPGGN22RHDLBBS \
  | 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: 50602c5aa1d607a53cc66eb5138d610c9376ab4540255f26a1848ac92092acf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21a5214f34fbafd52352c58db9d99832823a7607124478d8b748b6cc6513796f",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-11-05T19:59:57Z",
    "title_canon_sha256": "ec9002b2224128bb7e8f145c023d5bd081c9eb89fa0647fb1e73932cce4a00ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01875",
    "kind": "arxiv",
    "version": 1
  }
}