Pith Number

pith:Z2LPL67Z

pith:2013:Z2LPL67Z34QZOPXGRKJAL2FNML

not attested not anchored not stored refs pending

Reverse Triangle Inequalities for Potentials

E. B. Saff, I. E. Pritsker

arxiv:1307.5729 v1 · 2013-07-22 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2LPL67Z34QZOPXGRKJAL2FNML}

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	2026-05-18T03:17:54.765520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce96f5fbf9df21973ee68a9205e8ad62ebc12d71e4dee6c9de6a73ad5f59f571

Aliases

arxiv: 1307.5729 · arxiv_version: 1307.5729v1 · doi: 10.48550/arxiv.1307.5729 · pith_short_12: Z2LPL67Z34QZ · pith_short_16: Z2LPL67Z34QZOPXG · pith_short_8: Z2LPL67Z

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/Z2LPL67Z34QZOPXGRKJAL2FNML \
  | 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: ce96f5fbf9df21973ee68a9205e8ad62ebc12d71e4dee6c9de6a73ad5f59f571

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d09ce62a2ed95da8fb8319a136f22e06afe253912ad4edbdf80d40b34d75128",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-07-22T14:32:16Z",
    "title_canon_sha256": "ce5cec5f106f56541063be3d280fd5cea6cc53ab5a819c26597af3f1a7302c0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5729",
    "kind": "arxiv",
    "version": 1
  }
}