Pith Number

pith:2EZNZJLB

pith:2018:2EZNZJLBHP5H4HPWFHRSBRCQOK

not attested not anchored not stored refs pending

Entropy versions of additive inequalities

Alberto Espuny D\'iaz, Oriol Serra

arxiv:1809.10421 v2 · 2018-09-27 · math.CO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2EZNZJLBHP5H4HPWFHRSBRCQOK}

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	2026-05-17T23:45:04.461954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d132dca5613bfa7e1df629e320c45072a23f1017aee9a109e11ca52567e63748

Aliases

arxiv: 1809.10421 · arxiv_version: 1809.10421v2 · doi: 10.48550/arxiv.1809.10421 · pith_short_12: 2EZNZJLBHP5H · pith_short_16: 2EZNZJLBHP5H4HPW · pith_short_8: 2EZNZJLB

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/2EZNZJLBHP5H4HPWFHRSBRCQOK \
  | 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: d132dca5613bfa7e1df629e320c45072a23f1017aee9a109e11ca52567e63748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7617e85f0f7b046a91488a17b334bc55d579f4a1e87ecb359deff56cf2f1c98b",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-27T09:25:13Z",
    "title_canon_sha256": "b9797c3623ed7e215eb5b44a5b142340742c9a507dc08dbfab2b52f52672afea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10421",
    "kind": "arxiv",
    "version": 2
  }
}