Pith Number

pith:54L4ZUTH

pith:2013:54L4ZUTH4OU6EMNR2I6EWNLA2B

not attested not anchored not stored refs pending

Dirichlet polynomials, Majorization, and Trumping

Rajesh Pereira, Sarah Plosker

arxiv:1310.5088 v2 · 2013-10-18 · quant-ph · math-ph · math.FA · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{54L4ZUTH4OU6EMNR2I6EWNLA2B}

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	2026-05-18T03:05:01.074719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef17ccd267e3a9e231b1d23c4b3560d04d8703408e6022425f14f3ee78080b75

Aliases

arxiv: 1310.5088 · arxiv_version: 1310.5088v2 · doi: 10.48550/arxiv.1310.5088 · pith_short_12: 54L4ZUTH4OU6 · pith_short_16: 54L4ZUTH4OU6EMNR · pith_short_8: 54L4ZUTH

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/54L4ZUTH4OU6EMNR2I6EWNLA2B \
  | 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: ef17ccd267e3a9e231b1d23c4b3560d04d8703408e6022425f14f3ee78080b75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62ab549bb766ab2b0b31610caf93335b4d887590eadb4a1a75721398fd0a4116",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-10-18T16:42:35Z",
    "title_canon_sha256": "8e67c4c82874b5b510299c262a7471996b7a4f1333cc0ca1fa9fc1cdbac815b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5088",
    "kind": "arxiv",
    "version": 2
  }
}