Pith Number

pith:SNK4J4FU

pith:2009:SNK4J4FUSATXZ44HKUQXZUX76B

not attested not anchored not stored refs pending

Loops in SU(2) and Factorization

Doug Pickrell

arxiv:0903.4983 v2 · 2009-03-28 · math.FA · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SNK4J4FUSATXZ44HKUQXZUX76B}

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	2026-05-18T02:45:38.750114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9355c4f0b490277cf38755217cd2fff040da82345388a0f69428d303d49fd950

Aliases

arxiv: 0903.4983 · arxiv_version: 0903.4983v2 · doi: 10.48550/arxiv.0903.4983 · pith_short_12: SNK4J4FUSATX · pith_short_16: SNK4J4FUSATXZ44H · pith_short_8: SNK4J4FU

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/SNK4J4FUSATXZ44HKUQXZUX76B \
  | 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: 9355c4f0b490277cf38755217cd2fff040da82345388a0f69428d303d49fd950

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92a23f5ffdca380a0185c249142b9c76e620974be84bf3512d09ee607bad22a8",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-03-28T18:00:09Z",
    "title_canon_sha256": "85ed66b48a62022c3fb81304cad865af1b0969c8917b1cf6e4e3d7adbb7d46bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4983",
    "kind": "arxiv",
    "version": 2
  }
}