Pith Number

pith:TD7X7JNY

pith:2004:TD7X7JNYLIH476WJNRCRSRAKPC

not attested not anchored not stored refs pending

A geometric approach to the canonical reformulation of quantum mechanics

Mohammad Mehrafarin

arxiv:quant-ph/0409086 v2 · 2004-09-15 · 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{TD7X7JNYLIH476WJNRCRSRAKPC}

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	2026-05-18T04:19:02.302289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98ff7fa5b85a0fcffac96c4519440a788434e870a77fefbb2bcea2c360ba8137

Aliases

arxiv: quant-ph/0409086 · arxiv_version: quant-ph/0409086v2 · doi: 10.48550/arxiv.quant-ph/0409086 · pith_short_12: TD7X7JNYLIH4 · pith_short_16: TD7X7JNYLIH476WJ · pith_short_8: TD7X7JNY

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/TD7X7JNYLIH476WJNRCRSRAKPC \
  | 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: 98ff7fa5b85a0fcffac96c4519440a788434e870a77fefbb2bcea2c360ba8137

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9134c789f49a6c347fc3f02ccc2fb171e719863635b3ee77408f3cbc39a7627e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-09-15T09:09:12Z",
    "title_canon_sha256": "c175677822b42391a2c69e6cf5bd00c938ae4e9584162545aca7490a022ee4e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0409086",
    "kind": "arxiv",
    "version": 2
  }
}