Pith Number

pith:ZHPQG7BK

pith:2013:ZHPQG7BKCYK7OIJQPUR7IH2GVM

not attested not anchored not stored refs pending

Nonlinear elliptic equations with measures revisited

Augusto C. Ponce, Ha\"im Brezis, Moshe Marcus

arxiv:1312.6495 v1 · 2013-12-23 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHPQG7BKCYK7OIJQPUR7IH2GVM}

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	2026-05-18T03:03:58.146793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9df037c2a1615f721307d23f41f46ab223736fc1c1f572f92408382e44ee634

Aliases

arxiv: 1312.6495 · arxiv_version: 1312.6495v1 · doi: 10.48550/arxiv.1312.6495 · pith_short_12: ZHPQG7BKCYK7 · pith_short_16: ZHPQG7BKCYK7OIJQ · pith_short_8: ZHPQG7BK

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/ZHPQG7BKCYK7OIJQPUR7IH2GVM \
  | 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: c9df037c2a1615f721307d23f41f46ab223736fc1c1f572f92408382e44ee634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a8f91797dc8d058fd4adec0cb3630e9e9d9acc25765291b5ffffcc83a064360",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-23T09:40:28Z",
    "title_canon_sha256": "9e38e6c9d51b51b6d084d9ab2a6ed8a0025f9a5864d188de6ae331894f23eba7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6495",
    "kind": "arxiv",
    "version": 1
  }
}