Pith Number

pith:SGTJULSY

pith:2025:SGTJULSYK7G4KP45Z3F46X5PEA

not attested not anchored not stored refs pending

Flavor Symmetries and Winding Modes

Alex Stewart, Hans Peter Nilles, Michael Ratz, Xiang-Gan Liu, Xueqi Li

arxiv:2506.12887 v1 · 2025-06-15 · hep-th · 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{SGTJULSYK7G4KP45Z3F46X5PEA}

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	2026-07-05T11:23:30.317412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91a69a2e5857cdc53f9dcecbcf5faf20007e999525241acee3f755be1caef180

Aliases

arxiv: 2506.12887 · arxiv_version: 2506.12887v1 · doi: 10.48550/arxiv.2506.12887 · pith_short_12: SGTJULSYK7G4 · pith_short_16: SGTJULSYK7G4KP45 · pith_short_8: SGTJULSY

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/SGTJULSYK7G4KP45Z3F46X5PEA \
  | 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: 91a69a2e5857cdc53f9dcecbcf5faf20007e999525241acee3f755be1caef180

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abc66a0f6b079f7fd099e273e566307cc516d49628b67c190db7d9f61d4c6826",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-06-15T15:33:38Z",
    "title_canon_sha256": "c54a45817541b07349fa3f45c6d03f8adaa6dfd1383fb7d854f8b83ebcfb9e3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.12887",
    "kind": "arxiv",
    "version": 1
  }
}