Pith Number

pith:CKSOHS7N

pith:2003:CKSOHS7N7UX5EATQ64T7FQWPQO

not attested not anchored not stored refs pending

p-Laplacian type equations involving measures

Tero Kilpel\"ainen

arxiv:math/0304392 v1 · 2003-04-24 · 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{CKSOHS7N7UX5EATQ64T7FQWPQO}

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	2026-07-04T14:37:15.409809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12a4e3cbedfd2fd20270f727f2c2cf83a729bd42210b3af294a6a3cf5db571aa

Aliases

arxiv: math/0304392 · arxiv_version: math/0304392v1 · doi: 10.48550/arxiv.math/0304392 · pith_short_12: CKSOHS7N7UX5 · pith_short_16: CKSOHS7N7UX5EATQ · pith_short_8: CKSOHS7N

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/CKSOHS7N7UX5EATQ64T7FQWPQO \
  | 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: 12a4e3cbedfd2fd20270f727f2c2cf83a729bd42210b3af294a6a3cf5db571aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc62d7b5b910b1bfb56343bf960339801cab28fa10fe00343a1f3678482f5e7d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2003-04-24T21:31:22Z",
    "title_canon_sha256": "03f82cbf3a3eab2cb21673abacb6c9e4ac53a92af2e6761a60419b0517b94f40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304392",
    "kind": "arxiv",
    "version": 1
  }
}