Pith Number

pith:Y6C63BOD

pith:2018:Y6C63BODRBL5OGDVBMNWTSJHQD

not attested not anchored not stored refs pending

Discrete $H^1$-inequalities for spaces admitting M-decompositions

Bernardo Cockburn, Guosheng Fu, Weifeng Qiu

arxiv:1808.05709 v1 · 2018-08-17 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y6C63BODRBL5OGDVBMNWTSJHQD}

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	2026-05-18T00:07:52.421504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c785ed85c38857d718750b1b69c92780e23307d607cc4c02db6c8c10b9d5c87c

Aliases

arxiv: 1808.05709 · arxiv_version: 1808.05709v1 · doi: 10.48550/arxiv.1808.05709 · pith_short_12: Y6C63BODRBL5 · pith_short_16: Y6C63BODRBL5OGDV · pith_short_8: Y6C63BOD

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/Y6C63BODRBL5OGDVBMNWTSJHQD \
  | 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: c785ed85c38857d718750b1b69c92780e23307d607cc4c02db6c8c10b9d5c87c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5acf27f6875e5d0e84ce3b45c1c795a68d8d2e063c21e669c898b671ee87973a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-08-17T00:13:44Z",
    "title_canon_sha256": "75a928ca7f9f755ad31f243abfef598620876ee7547e42eb2c7c9e10f3555dbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05709",
    "kind": "arxiv",
    "version": 1
  }
}