Pith Number

pith:D5WT4G3W

pith:2013:D5WT4G3W65PMPDEEDXOLGSGY42

not attested not anchored not stored refs pending

Gaussian lower bound for the Neumann Green function of ageneral parabolic operator

Laurent Kayser, Mourad Choulli

arxiv:1301.2906 v4 · 2013-01-14 · 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{D5WT4G3W65PMPDEEDXOLGSGY42}

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	2026-05-18T02:29:55.330598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f6d3e1b76f75ec78c841ddcb348d8e68ade96b9856f9253c2021c5dceafd5bc

Aliases

arxiv: 1301.2906 · arxiv_version: 1301.2906v4 · doi: 10.48550/arxiv.1301.2906 · pith_short_12: D5WT4G3W65PM · pith_short_16: D5WT4G3W65PMPDEE · pith_short_8: D5WT4G3W

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/D5WT4G3W65PMPDEEDXOLGSGY42 \
  | 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: 1f6d3e1b76f75ec78c841ddcb348d8e68ade96b9856f9253c2021c5dceafd5bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68a3cf14f98cfa5e829834c454651a586c6736384a7645b53ff9b4e9ae29c242",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-01-14T10:25:05Z",
    "title_canon_sha256": "42518d114bb80cf65a19eff10d44ec0d30872b3efb7ed85220abbb62f4277dc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2906",
    "kind": "arxiv",
    "version": 4
  }
}