Pith Number

pith:SNSNAM6S

pith:2014:SNSNAM6S5EX37I56QMEPEKEJWU

not attested not anchored not stored refs pending

Ergodic Theory Meets Polarization. II: A Foundation of Polarization Theory

Rajai Nasser

arxiv:1406.2949 v6 · 2014-06-11 · cs.IT · math.CO · 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{SNSNAM6S5EX37I56QMEPEKEJWU}

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	2026-05-18T00:51:28.783748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9364d033d2e92fbfa3be8308f22889b528d7fecc2239efb42d75ab4afa798d51

Aliases

arxiv: 1406.2949 · arxiv_version: 1406.2949v6 · doi: 10.48550/arxiv.1406.2949 · pith_short_12: SNSNAM6S5EX3 · pith_short_16: SNSNAM6S5EX37I56 · pith_short_8: SNSNAM6S

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/SNSNAM6S5EX37I56QMEPEKEJWU \
  | 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: 9364d033d2e92fbfa3be8308f22889b528d7fecc2239efb42d75ab4afa798d51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "979d6a63f2df6aa0ed572cb2cf0d2981e556b25c356938a67e0536a6a4e96456",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-06-11T16:07:57Z",
    "title_canon_sha256": "ed48e8cb2465de129f172690bcf506e2b67c36bad9ac723402eb8d28dcedcbe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.2949",
    "kind": "arxiv",
    "version": 6
  }
}