Pith Number

pith:ZKRCLMYK

pith:2026:ZKRCLMYKYXPK6NG6G6GIYJHAVJ

not attested not anchored not stored refs pending

Strong Polarization and Entropy

Dami\'an Pinasco, Daniel Galicer, Oscar Ortega-Moreno

arxiv:2606.02567 v1 · 2026-06-01 · math.FA · 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{ZKRCLMYKYXPK6NG6G6GIYJHAVJ}

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	2026-06-02T03:05:10.326086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caa225b30ac5deaf34de378c8c24e0aa4ea944c4d9d21aa25272a152da542f72

Aliases

arxiv: 2606.02567 · arxiv_version: 2606.02567v1 · doi: 10.48550/arxiv.2606.02567 · pith_short_12: ZKRCLMYKYXPK · pith_short_16: ZKRCLMYKYXPK6NG6 · pith_short_8: ZKRCLMYK

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/ZKRCLMYKYXPK6NG6G6GIYJHAVJ \
  | 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: caa225b30ac5deaf34de378c8c24e0aa4ea944c4d9d21aa25272a152da542f72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b16baf5d282554665dcc260843c8795c172513b7a6ad1199acfb5e54a299a6c",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-01T17:56:17Z",
    "title_canon_sha256": "2a7a4601e63fd3c854dd31baa636bec6d498f4ae82e8c0f6fc4977c877053e07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02567",
    "kind": "arxiv",
    "version": 1
  }
}