Pith Number

pith:KC545NXU

pith:2001:KC545NXUUHHG3ETKIAPRFWHMAJ

not attested not anchored not stored refs pending

Cycles and 1-unconditional matrices

Stefan Neuwirth

arxiv:math/0102146 v2 · 2001-02-19 · math.FA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KC545NXUUHHG3ETKIAPRFWHMAJ}

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	2026-05-18T00:37:49.258994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50bbceb6f4a1ce6d926a401f12d8ec0260532f5825f3f40093f24e11b5223c5b

Aliases

arxiv: math/0102146 · arxiv_version: math/0102146v2 · doi: 10.48550/arxiv.math/0102146 · pith_short_12: KC545NXUUHHG · pith_short_16: KC545NXUUHHG3ETK · pith_short_8: KC545NXU

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/KC545NXUUHHG3ETKIAPRFWHMAJ \
  | 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: 50bbceb6f4a1ce6d926a401f12d8ec0260532f5825f3f40093f24e11b5223c5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c55545165b7e0806fc51df5347e492af9b4606c546de69eecf24b1fd1ed3e4fa",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2001-02-19T13:51:31Z",
    "title_canon_sha256": "1af9bd91dad58eaacd4632a6323a549d4c4bd73c09619eba6cc04c34705a93da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0102146",
    "kind": "arxiv",
    "version": 2
  }
}