Pith Number

pith:KS4UNXUN

pith:2009:KS4UNXUND3T7SLANULAR2WE2R3

not attested not anchored not stored refs pending

Unitary loops and factorization

Benjamin Pittman-Polletta, Doug Pickrell

arxiv:0905.2911 v2 · 2009-05-18 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KS4UNXUND3T7SLANULAR2WE2R3}

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	2026-05-18T02:45:38.742422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54b946de8d1ee7f92c0da2c11d589a8eed59d7e6c82d318f4d15f29fc6920ae4

Aliases

arxiv: 0905.2911 · arxiv_version: 0905.2911v2 · doi: 10.48550/arxiv.0905.2911 · pith_short_12: KS4UNXUND3T7 · pith_short_16: KS4UNXUND3T7SLAN · pith_short_8: KS4UNXUN

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/KS4UNXUND3T7SLANULAR2WE2R3 \
  | 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: 54b946de8d1ee7f92c0da2c11d589a8eed59d7e6c82d318f4d15f29fc6920ae4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2a42e84fb1c9d3339807d789af1a9e04559f6ef53bf1a78ee4c4ba2f24ec8f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-05-18T15:30:28Z",
    "title_canon_sha256": "fb40c78e9d8e834db64e0bd2e1e8786927268752073655b8a24309c14633fa5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2911",
    "kind": "arxiv",
    "version": 2
  }
}