Pith Number

pith:4ZJ6GSEL

pith:2007:4ZJ6GSEL7EL2GRZVBVEVR6USGM

not attested not anchored not stored refs pending

Bicomplex quantum mechanics: I. The generalized Schr\"odinger equation

Dominic Rochon, S\'ebastien Tremblay

arxiv:0709.3242 v1 · 2007-09-20 · 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{4ZJ6GSEL7EL2GRZVBVEVR6USGM}

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	2026-05-18T03:19:01.937862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e653e3488bf917a347350d4958fa92333abc2fd8aa8201cad1a3aeb6c6e77f3f

Aliases

arxiv: 0709.3242 · arxiv_version: 0709.3242v1 · doi: 10.48550/arxiv.0709.3242 · pith_short_12: 4ZJ6GSEL7EL2 · pith_short_16: 4ZJ6GSEL7EL2GRZV · pith_short_8: 4ZJ6GSEL

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/4ZJ6GSEL7EL2GRZVBVEVR6USGM \
  | 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: e653e3488bf917a347350d4958fa92333abc2fd8aa8201cad1a3aeb6c6e77f3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e04947a80330b9700152c33c35945ca6cfb8288df399fbc71f10bebf028830f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-09-20T14:27:05Z",
    "title_canon_sha256": "354e02e18efe791069d56619cfb7a5794a8e872664830a5850d63831f6a38266"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.3242",
    "kind": "arxiv",
    "version": 1
  }
}