Pith Number

pith:CPLNKRSA

pith:2015:CPLNKRSANCVKJAPLL5LRQUXKCV

not attested not anchored not stored refs pending

A Harnack's inequality for mixed type evolution equations

Fabio Paronetto

arxiv:1508.07836 v1 · 2015-08-31 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CPLNKRSANCVKJAPLL5LRQUXKCV}

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	2026-05-18T01:34:31.359257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13d6d5464068aaa481eb5f571852ea154b98f1ca389b7247d63098f07aff2be8

Aliases

arxiv: 1508.07836 · arxiv_version: 1508.07836v1 · doi: 10.48550/arxiv.1508.07836 · pith_short_12: CPLNKRSANCVK · pith_short_16: CPLNKRSANCVKJAPL · pith_short_8: CPLNKRSA

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/CPLNKRSANCVKJAPLL5LRQUXKCV \
  | 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: 13d6d5464068aaa481eb5f571852ea154b98f1ca389b7247d63098f07aff2be8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfe2e54009465fee7d498ab691f3b5f0830f96ad3b54161a342785dd67a1570d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-31T14:08:14Z",
    "title_canon_sha256": "218caf2c30aee74dc1a931a7fb703ed2c3301f411df0db4862839439193d272e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07836",
    "kind": "arxiv",
    "version": 1
  }
}