Pith Number

pith:TNTTROUI

pith:2013:TNTTROUI2JLKOX732TCJUALII4

not attested not anchored not stored refs pending

Biorthogonal Quantum Mechanics

Dorje C. Brody

arxiv:1308.2609 v2 · 2013-08-12 · quant-ph · 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{TNTTROUI2JLKOX732TCJUALII4}

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	2026-05-18T01:48:16.294330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b6738ba88d256a75ffbd4c49a0168473d42972c2745ab141ae547ecc858b185

Aliases

arxiv: 1308.2609 · arxiv_version: 1308.2609v2 · doi: 10.48550/arxiv.1308.2609 · pith_short_12: TNTTROUI2JLK · pith_short_16: TNTTROUI2JLKOX73 · pith_short_8: TNTTROUI

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/TNTTROUI2JLKOX732TCJUALII4 \
  | 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: 9b6738ba88d256a75ffbd4c49a0168473d42972c2745ab141ae547ecc858b185

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82f50d54159abaf2f07aae2fb0975eb4a6ba245a0fcb4feb128c3295e35507bc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-08-12T16:11:48Z",
    "title_canon_sha256": "26aa004edd11d3bc61d5ab2451c8b3b9647ea827d8c9fce81fc0906043be1ad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2609",
    "kind": "arxiv",
    "version": 2
  }
}