Pith Number

pith:A5ILK3IS

pith:2010:A5ILK3IST4MDLNLCJ622D6XZA4

not attested not anchored not stored refs pending

Lipschitz continuity of solutions of Poisson equations in metric measure spaces

Renjin Jiang

arxiv:1004.1101 v3 · 2010-04-07 · 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{A5ILK3IST4MDLNLCJ622D6XZA4}

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	2026-05-18T04:13:05.820423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0750b56d129f1835b5624fb5a1faf9071952b4838e604f82e4e13e73c5a11888

Aliases

arxiv: 1004.1101 · arxiv_version: 1004.1101v3 · doi: 10.48550/arxiv.1004.1101 · pith_short_12: A5ILK3IST4MD · pith_short_16: A5ILK3IST4MDLNLC · pith_short_8: A5ILK3IS

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/A5ILK3IST4MDLNLCJ622D6XZA4 \
  | 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: 0750b56d129f1835b5624fb5a1faf9071952b4838e604f82e4e13e73c5a11888

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98670b5cfe43b711201ba4540381481b0c1faff2d9186546a9202e15cc6ad5d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-04-07T14:41:41Z",
    "title_canon_sha256": "9b626031a354b3ea3a23eda104605cd44a097065b0d5e443593d32926ecf6bab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1101",
    "kind": "arxiv",
    "version": 3
  }
}