Pith Number

pith:O3AGSIRO

pith:1997:O3AGSIROS3UM5CYBV6ZX5KD7CE

not attested not anchored not stored refs pending

Homogeneous phase spaces: the Cayley-Klein framework

Francisco J. Herranz, Mariano Santander

arxiv:physics/9702030 v1 · 1997-02-24 · 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{O3AGSIROS3UM5CYBV6ZX5KD7CE}

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	2026-05-18T00:46:21.510711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76c069222e96e8ce8b01afb37ea87f1102d4d0ff16fd9fe07f8b3346647f4890

Aliases

arxiv: physics/9702030 · arxiv_version: physics/9702030v1 · doi: 10.48550/arxiv.physics/9702030 · pith_short_12: O3AGSIROS3UM · pith_short_16: O3AGSIROS3UM5CYB · pith_short_8: O3AGSIRO

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/O3AGSIROS3UM5CYBV6ZX5KD7CE \
  | 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: 76c069222e96e8ce8b01afb37ea87f1102d4d0ff16fd9fe07f8b3346647f4890

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "153d11e5ece8732fb69f9009828d351c303788a6df523e6f31c361cc3fd384c0",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1997-02-24T13:11:14Z",
    "title_canon_sha256": "4b7e9f27be6dd6fba926b9ca7c2a8f8891657413a3067743416a498cfabe67e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/9702030",
    "kind": "arxiv",
    "version": 1
  }
}