Pith Number

pith:C6G6V5DT

pith:2000:C6G6V5DTLXXXRAVBP45ZZRU4ZV

not attested not anchored not stored refs pending

Symmetric Hilbert spaces arising from species of structures

Hans Maassen, Madalin Guta

arxiv:math-ph/0007005 v1 · 2000-07-03 · math-ph · math.CO · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C6G6V5DTLXXXRAVBP45ZZRU4ZV}

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	2026-05-18T04:19:32.816865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

178deaf4735def7882a17f3b9cc69ccd472ed4134127dd65ce18f91c6f9670e7

Aliases

arxiv: math-ph/0007005 · arxiv_version: math-ph/0007005v1 · doi: 10.48550/arxiv.math-ph/0007005 · pith_short_12: C6G6V5DTLXXX · pith_short_16: C6G6V5DTLXXXRAVB · pith_short_8: C6G6V5DT

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/C6G6V5DTLXXXRAVBP45ZZRU4ZV \
  | 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: 178deaf4735def7882a17f3b9cc69ccd472ed4134127dd65ce18f91c6f9670e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7f62c005452bdb285a3b741d7e518ec75d64c9ce209e4f779cf7bb333a294bc",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-07-03T19:25:20Z",
    "title_canon_sha256": "022cc7ddb10c2b2cb40d6b4f8b76326888046b1a012a177f7dc5eb616bb03d88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0007005",
    "kind": "arxiv",
    "version": 1
  }
}