Pith Number

pith:WOOA7H3X

pith:2013:WOOA7H3XRY5JGODID2NQP6KCTV

not attested not anchored not stored refs pending

Local boundedness property for parabolic BVP's and the gaussian upper bound for their Green functions

Mourad Choulli

arxiv:1309.5903 v3 · 2013-09-23 · 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{WOOA7H3XRY5JGODID2NQP6KCTV}

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	2026-05-18T02:29:55.206847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b39c0f9f778e3a9338681e9b07f9429d7f9e267a5f511a24d6c1ecaa2ac18f92

Aliases

arxiv: 1309.5903 · arxiv_version: 1309.5903v3 · doi: 10.48550/arxiv.1309.5903 · pith_short_12: WOOA7H3XRY5J · pith_short_16: WOOA7H3XRY5JGODI · pith_short_8: WOOA7H3X

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/WOOA7H3XRY5JGODID2NQP6KCTV \
  | 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: b39c0f9f778e3a9338681e9b07f9429d7f9e267a5f511a24d6c1ecaa2ac18f92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4683fb383747f3492842e5c46a7b0a9bae5635c76966b58bd66277e9053a2852",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-23T18:10:13Z",
    "title_canon_sha256": "7553cce0da16011363ce174558f3f453ee7683af9e9dbc3d129429299538a8a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5903",
    "kind": "arxiv",
    "version": 3
  }
}