Pith Number

pith:2QTKEL4T

pith:2026:2QTKEL4T25USSY33GAR3US2WYZ

not attested not anchored not stored refs pending

Hilbert Series of Pseudoscalar Mesons: Operators and Sum Rules

Joydeep Chakrabortty, Sabyasachi Chakraborty, Siddhartha Karmakar

arxiv:2608.11118 v1 · 2026-08-11 · hep-ph · hep-ex · hep-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{2QTKEL4T25USSY33GAR3US2WYZ}

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	2026-08-12T01:24:38.454092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d426a22f93d76929637b3023ba4b56c6687503705177f84b652f43e697f1b33c

Aliases

arxiv: 2608.11118 · arxiv_version: 2608.11118v1 · doi: 10.48550/arxiv.2608.11118 · pith_short_12: 2QTKEL4T25US · pith_short_16: 2QTKEL4T25USSY33 · pith_short_8: 2QTKEL4T

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/2QTKEL4T25USSY33GAR3US2WYZ \
  | 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: d426a22f93d76929637b3023ba4b56c6687503705177f84b652f43e697f1b33c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78aea3ca98a161894dd0a7a0f8c0fd2815a71bd6db63839f12f066b022ff4da1",
    "cross_cats_sorted": [
      "hep-ex",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-08-11T16:25:52Z",
    "title_canon_sha256": "6f099687a46b96e30276563245dfce53323d32f7b612a831e6ed6c3f0de80cea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11118",
    "kind": "arxiv",
    "version": 1
  }
}