Pith Number

pith:NZ6FBETJ

pith:2014:NZ6FBETJLOVZ4FWR5RGYSLCX7V

not attested not anchored not stored refs pending

Resonant bands, Aomoto complex, and real 4-nets

Masahiko Yoshinaga, Michele Torielli

arxiv:1404.5014 v3 · 2014-04-20 · math.AG · math.CO · math.GN · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NZ6FBETJLOVZ4FWR5RGYSLCX7V}

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	2026-05-17T23:53:52.715750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e7c5092695bab9e16d1ec4d892c57fd5caf2bfffa662bcb213bde7944b7066b

Aliases

arxiv: 1404.5014 · arxiv_version: 1404.5014v3 · doi: 10.48550/arxiv.1404.5014 · pith_short_12: NZ6FBETJLOVZ · pith_short_16: NZ6FBETJLOVZ4FWR · pith_short_8: NZ6FBETJ

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/NZ6FBETJLOVZ4FWR5RGYSLCX7V \
  | 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: 6e7c5092695bab9e16d1ec4d892c57fd5caf2bfffa662bcb213bde7944b7066b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b93a21ac04a607b56e06c21f62a092830d3d837d3213f49c3605da744ed582e7",
    "cross_cats_sorted": [
      "math.CO",
      "math.GN",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-04-20T05:34:17Z",
    "title_canon_sha256": "2e04677a53958fb73181d20b76794facebbcda910081ce89eee998a0e3db1d6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5014",
    "kind": "arxiv",
    "version": 3
  }
}