Pith Number

pith:2S5F4DYE

pith:2007:2S5F4DYEH4CX5CYLOAQ5EYULSE

not attested not anchored not stored refs pending

Manifolds of Hilbert space projections

Rupert H. Levene, Stephen C. Power

arxiv:0709.2117 v1 · 2007-09-13 · math.FA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2S5F4DYEH4CX5CYLOAQ5EYULSE}

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	2026-05-18T02:58:12.318843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4ba5e0f043f057e8b0b7021d2628b9101525adcd9c9cef759c2b25eae6a8f55

Aliases

arxiv: 0709.2117 · arxiv_version: 0709.2117v1 · doi: 10.48550/arxiv.0709.2117 · pith_short_12: 2S5F4DYEH4CX · pith_short_16: 2S5F4DYEH4CX5CYL · pith_short_8: 2S5F4DYE

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/2S5F4DYEH4CX5CYLOAQ5EYULSE \
  | 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: d4ba5e0f043f057e8b0b7021d2628b9101525adcd9c9cef759c2b25eae6a8f55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "803c7cfdc9734a504bb333a030363e1fdd4242b44859e85d20bb1ec406a6ab50",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2007-09-13T16:49:54Z",
    "title_canon_sha256": "dd4122f809205680de1b8509596b77e58b67ebb31c77097790019cc3f5cb93b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.2117",
    "kind": "arxiv",
    "version": 1
  }
}