Pith Number

pith:RKU4NW7W

pith:2012:RKU4NW7WN7YNI3SIRCTHXEUPFA

not attested not anchored not stored refs pending

Arrangements and Frobenius like structures

Alexander Varchenko

arxiv:1210.3802 v4 · 2012-10-14 · math.AG · math.CO · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RKU4NW7WN7YNI3SIRCTHXEUPFA}

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	2026-05-18T02:42:29.177172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8aa9c6dbf66ff0d46e4888a67b928f282e9f5806782dcfc9ddc6ecc230792b76

Aliases

arxiv: 1210.3802 · arxiv_version: 1210.3802v4 · doi: 10.48550/arxiv.1210.3802 · pith_short_12: RKU4NW7WN7YN · pith_short_16: RKU4NW7WN7YNI3SI · pith_short_8: RKU4NW7W

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/RKU4NW7WN7YNI3SIRCTHXEUPFA \
  | 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: 8aa9c6dbf66ff0d46e4888a67b928f282e9f5806782dcfc9ddc6ecc230792b76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e48a2d61ae1412731edbf12b336bdd339ed2afd1e6fd8ea626ae3360de175d5",
    "cross_cats_sorted": [
      "math.CO",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-14T15:24:02Z",
    "title_canon_sha256": "768c49318add9e08884affffa6d2e9bd39cbebec0452588b05b960735bce8360"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3802",
    "kind": "arxiv",
    "version": 4
  }
}