Pith Number

pith:DLJX4E4Q

pith:2012:DLJX4E4Q7UWEA6L2CBQX2IBFJI

not attested not anchored not stored refs pending

Trumping and Power Majorization

David W. Kribs, Rajesh Pereira, Sarah Plosker

arxiv:1210.6630 v2 · 2012-10-24 · math.FA · math-ph · math.MP · quant-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{DLJX4E4Q7UWEA6L2CBQX2IBFJI}

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	2026-05-18T01:36:36.258391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ad37e1390fd2c40797a10617d20254a04f24a86efdae8aafed068c7118d154b

Aliases

arxiv: 1210.6630 · arxiv_version: 1210.6630v2 · doi: 10.48550/arxiv.1210.6630 · pith_short_12: DLJX4E4Q7UWE · pith_short_16: DLJX4E4Q7UWEA6L2 · pith_short_8: DLJX4E4Q

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/DLJX4E4Q7UWEA6L2CBQX2IBFJI \
  | 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: 1ad37e1390fd2c40797a10617d20254a04f24a86efdae8aafed068c7118d154b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "189aa7f97111e40ab6a11e6e358b25696991d6258083fc9c09bca37119c60765",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-10-24T18:59:21Z",
    "title_canon_sha256": "3586c4c0e91b5984a49eba6f4d40edd2b70d82748e6d844423555800e769e389"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6630",
    "kind": "arxiv",
    "version": 2
  }
}