Pith Number

pith:5PBYYLDF

pith:2013:5PBYYLDFOBHGPNPEKLMF2AUWZW

not attested not anchored not stored refs pending

Reverse Triangle Inequalities for Riesz Potentials and Connections with Polarization

E. B. Saff, I. E. Pritsker, W. Wise

arxiv:1307.6205 v1 · 2013-07-23 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PBYYLDFOBHGPNPEKLMF2AUWZW}

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	2026-05-18T03:17:45.058605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebc38c2c65704e67b5e452d85d0296cd807601b74b338aebdaa8232f767318ac

Aliases

arxiv: 1307.6205 · arxiv_version: 1307.6205v1 · doi: 10.48550/arxiv.1307.6205 · pith_short_12: 5PBYYLDFOBHG · pith_short_16: 5PBYYLDFOBHGPNPE · pith_short_8: 5PBYYLDF

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/5PBYYLDFOBHGPNPEKLMF2AUWZW \
  | 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: ebc38c2c65704e67b5e452d85d0296cd807601b74b338aebdaa8232f767318ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01d52cb8a889ffe4c7505048ae2d0dedc422b5134c0a3144a7a1088ab6b36da1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-23T19:35:46Z",
    "title_canon_sha256": "2600ca6fac87d6a1578cf3da02786a1d8108bdd63c8881003f4bfb3cc18eeaf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6205",
    "kind": "arxiv",
    "version": 1
  }
}