Pith Number

pith:GAFHKTSW

pith:2006:GAFHKTSWZUQML74ME7YL6GCKGY

not attested not anchored not stored refs pending

Geometric Algebra and Star Products on the Phase Space

Peter Henselder

arxiv:math-ph/0609030 v1 · 2006-09-09 · 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{GAFHKTSWZUQML74ME7YL6GCKGY}

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	2026-05-18T01:38:32.651519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

300a754e56cd20c5ff8c27f0bf184a363a87dc01afa3fca9f6ca9346682cb6e1

Aliases

arxiv: math-ph/0609030 · arxiv_version: math-ph/0609030v1 · doi: 10.48550/arxiv.math-ph/0609030 · pith_short_12: GAFHKTSWZUQM · pith_short_16: GAFHKTSWZUQML74M · pith_short_8: GAFHKTSW

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/GAFHKTSWZUQML74ME7YL6GCKGY \
  | 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: 300a754e56cd20c5ff8c27f0bf184a363a87dc01afa3fca9f6ca9346682cb6e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bbe2757666a2aed9dd25578a84f53f9e17cd170d799e422b2b299ce519b01c4",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-09-09T16:32:04Z",
    "title_canon_sha256": "5cce007a93c7b582f765be562020f33ebb231fd07caa0ba9b50cccba6be9cbc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0609030",
    "kind": "arxiv",
    "version": 1
  }
}