Pith Number

pith:WCF4Y3MM

pith:2015:WCF4Y3MMAFK6RBVIANGRIKOGUP

not attested not anchored not stored refs pending

The gradient flow of the polarization measure. With an appendix

Giovanni Pistone, Maria Piera Rogantin

arxiv:1502.06718 v2 · 2015-02-24 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCF4Y3MMAFK6RBVIANGRIKOGUP}

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	2026-05-18T02:18:15.146954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b08bcc6d8c0155e886a8034d1429c6a3c96cb5615afaa8d07a4d4f561978257e

Aliases

arxiv: 1502.06718 · arxiv_version: 1502.06718v2 · doi: 10.48550/arxiv.1502.06718 · pith_short_12: WCF4Y3MMAFK6 · pith_short_16: WCF4Y3MMAFK6RBVI · pith_short_8: WCF4Y3MM

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/WCF4Y3MMAFK6RBVIANGRIKOGUP \
  | 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: b08bcc6d8c0155e886a8034d1429c6a3c96cb5615afaa8d07a4d4f561978257e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff0e5ce44b6b748723ae1528a046ef7abd8026208f5d9a7959536479ed4fd653",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-02-24T09:09:28Z",
    "title_canon_sha256": "478ebf1b6819e0b629d3bebcf5b576e4da7b8cc6c69e16bcb0c5ba62322c0fa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06718",
    "kind": "arxiv",
    "version": 2
  }
}