Pith Number

pith:4BYJLA7G

pith:2012:4BYJLA7GKNH5BVB5D2WXEUUQYA

not attested not anchored not stored refs pending

A symmetric Norlund sum with application to inequalities

Artur M. C. Brito da Cruz, Delfim F. M. Torres, Natalia Martins

arxiv:1203.2212 v1 · 2012-03-09 · 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{4BYJLA7GKNH5BVB5D2WXEUUQYA}

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	2026-05-18T03:12:46.585205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0709583e6534fd0d43d1ead725290c01a741c8556df26dbc258d4bc0aa02ded

Aliases

arxiv: 1203.2212 · arxiv_version: 1203.2212v1 · doi: 10.48550/arxiv.1203.2212 · pith_short_12: 4BYJLA7GKNH5 · pith_short_16: 4BYJLA7GKNH5BVB5 · pith_short_8: 4BYJLA7G

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/4BYJLA7GKNH5BVB5D2WXEUUQYA \
  | 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: e0709583e6534fd0d43d1ead725290c01a741c8556df26dbc258d4bc0aa02ded

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86e2628f58d4d84ffc76bbdfaa2908d21acfb29c98a820590c9a289a7a797210",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-03-09T23:45:28Z",
    "title_canon_sha256": "cf7511ca8d90d34017e1090eb5db5772c84eece29eb628fb547b6b546b7b0c2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2212",
    "kind": "arxiv",
    "version": 1
  }
}