Pith Number

pith:FUZXZ2WI

pith:2018:FUZXZ2WIV7FLTCS55KEKGNUH3S

not attested not anchored not stored refs pending

A constructive method for decomposing real representations

Hassan Azad, Indranil Biswas, Sajid Ali, Willem A. de Graaf

arxiv:1804.03614 v3 · 2018-04-10 · math.RT · 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{FUZXZ2WIV7FLTCS55KEKGNUH3S}

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	2026-07-05T01:11:08.084384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d337ceac8afcab98a5dea88a33687dc841b8c2a04bf194cff5b777b4c143b04

Aliases

arxiv: 1804.03614 · arxiv_version: 1804.03614v3 · doi: 10.48550/arxiv.1804.03614 · pith_short_12: FUZXZ2WIV7FL · pith_short_16: FUZXZ2WIV7FLTCS5 · pith_short_8: FUZXZ2WI

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/FUZXZ2WIV7FLTCS55KEKGNUH3S \
  | 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: 2d337ceac8afcab98a5dea88a33687dc841b8c2a04bf194cff5b777b4c143b04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5cc363423826912f58b5e3a834a4ec9a63a6b9d2b5b5b7bb081c24cf21146d0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-04-10T16:16:56Z",
    "title_canon_sha256": "9392e9ec507dc6c5cf2de4dbdf1a3ad229a63097e657f6af25d0bf1d6390ee41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03614",
    "kind": "arxiv",
    "version": 3
  }
}