Pith Number

pith:TOQLZPIG

pith:2016:TOQLZPIG7HWYXYGMT7XQNQPYUX

not attested not anchored not stored refs pending

Nash estimates and upper bounds for non-homogeneous Kolmogorov equations

Alberto Lanconelli, Andrea Pascucci

arxiv:1606.06453 v1 · 2016-06-21 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TOQLZPIG7HWYXYGMT7XQNQPYUX}

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	2026-05-18T01:12:09.503264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ba0bcbd06f9ed8be0cc9fef06c1f8a5d02c941f5088022c227ee87b761535fd

Aliases

arxiv: 1606.06453 · arxiv_version: 1606.06453v1 · doi: 10.48550/arxiv.1606.06453 · pith_short_12: TOQLZPIG7HWY · pith_short_16: TOQLZPIG7HWYXYGM · pith_short_8: TOQLZPIG

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/TOQLZPIG7HWYXYGMT7XQNQPYUX \
  | 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: 9ba0bcbd06f9ed8be0cc9fef06c1f8a5d02c941f5088022c227ee87b761535fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "957e405181d69a308527757fdd5d5ad17e1c490e9f8928b1a94868c156cf3193",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-21T07:32:31Z",
    "title_canon_sha256": "32bb947cf9036c5bbc87074aae6acafc2089fdc08f5b17506a23ae1ca49966e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06453",
    "kind": "arxiv",
    "version": 1
  }
}