Pith Number

pith:QUZLCAHL

pith:2005:QUZLCAHLSNMAA7NHBQPOIDDKF2

not attested not anchored not stored refs pending

A Hopf algebraic approach to the theory of group branchings

Bertfried Fauser (MPI, Leipzig), Peter D. Jarvis (Tasmania), Ronald C. King (Southampton)

arxiv:math-ph/0508034 v1 · 2005-08-17 · 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{QUZLCAHLSNMAA7NHBQPOIDDKF2}

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.

Cited by

1 paper in Pith

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair

Receipt and verification

First computed	2026-07-04T14:34:06.986481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8532b100eb9358007da70c1ee40c6a2ea85d7ac9086ad0b210a4b5543ac5c13c

Aliases

arxiv: math-ph/0508034 · arxiv_version: math-ph/0508034v1 · doi: 10.48550/arxiv.math-ph/0508034 · pith_short_12: QUZLCAHLSNMA · pith_short_16: QUZLCAHLSNMAA7NH · pith_short_8: QUZLCAHL

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/QUZLCAHLSNMAA7NHBQPOIDDKF2 \
  | 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: 8532b100eb9358007da70c1ee40c6a2ea85d7ac9086ad0b210a4b5543ac5c13c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de60c07515ff310d760144486abedd48acd783cb5935b85ed8e3d53e83e79383",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-08-17T04:22:00Z",
    "title_canon_sha256": "aad62a3560fce8ade1df4c8ff5d762390727de29b38e82e9cc074b6e1dfe0cb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0508034",
    "kind": "arxiv",
    "version": 1
  }
}