Pith Number

pith:7724N3QB

pith:2014:7724N3QBEMYSPP7TXD7ADJGTVO

not attested not anchored not stored refs pending

Ergodic Theory Meets Polarization. I: An Ergodic Theory for Binary Operations

Rajai Nasser

arxiv:1406.2943 v6 · 2014-06-11 · math.CO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7724N3QBEMYSPP7TXD7ADJGTVO}

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	2026-05-18T00:51:28.790538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fff5c6ee01233127bff3b8fe01a4d3ab957fbb1a01de276886592b42431941b1

Aliases

arxiv: 1406.2943 · arxiv_version: 1406.2943v6 · doi: 10.48550/arxiv.1406.2943 · pith_short_12: 7724N3QBEMYS · pith_short_16: 7724N3QBEMYSPP7T · pith_short_8: 7724N3QB

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/7724N3QBEMYSPP7TXD7ADJGTVO \
  | 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: fff5c6ee01233127bff3b8fe01a4d3ab957fbb1a01de276886592b42431941b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e8c47f671e8582c4d68fb68008e97e1572da373cbd3ec431e17a426fcbbf000",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-11T15:53:32Z",
    "title_canon_sha256": "796539354b858cf8d7317228a64db5e1b96a6b072c626297e8a5f3713c3ad506"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.2943",
    "kind": "arxiv",
    "version": 6
  }
}