Pith Number

pith:GH7GMYWR

pith:2015:GH7GMYWRSJWTNUXHH72S7JVCQD

not attested not anchored not stored refs pending

On an integral equation of Lieb

Ronen Peretz

arxiv:1508.03274 v1 · 2015-08-13 · 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{GH7GMYWRSJWTNUXHH72S7JVCQD}

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	2026-05-18T01:35:21.254996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31fe6662d1926d36d2e73ff52fa6a280e3e6899ffcea78545c05bd74f1b2de20

Aliases

arxiv: 1508.03274 · arxiv_version: 1508.03274v1 · doi: 10.48550/arxiv.1508.03274 · pith_short_12: GH7GMYWRSJWT · pith_short_16: GH7GMYWRSJWTNUXH · pith_short_8: GH7GMYWR

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/GH7GMYWRSJWTNUXHH72S7JVCQD \
  | 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: 31fe6662d1926d36d2e73ff52fa6a280e3e6899ffcea78545c05bd74f1b2de20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "553e75898e819ddbcf3b6cbfdf79357e361ca002cf43e526cf4f472bf01ec45a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-08-13T17:14:18Z",
    "title_canon_sha256": "c8d5d39e06a1a47bd0eafe0a7dba94e0732794f3ab147f59f49e77757acaa129"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03274",
    "kind": "arxiv",
    "version": 1
  }
}