Pith Number

pith:KONNFRZL

pith:2017:KONNFRZLTU3UWLPRMUHBTVEOGD

not attested not anchored not stored refs pending

Gradient Estimates on Dirichlet Eigenfunctions

Anton Thalmaier, Feng-Yu Wang (TJU), Marc Arnaudon (IMB)

arxiv:1710.10832 v3 · 2017-10-30 · 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{KONNFRZLTU3UWLPRMUHBTVEOGD}

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	2026-05-18T00:08:21.465135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

539ad2c72b9d374b2df1650e19d48e30d0f8e9c2d219d94752ded4b670554e06

Aliases

arxiv: 1710.10832 · arxiv_version: 1710.10832v3 · doi: 10.48550/arxiv.1710.10832 · pith_short_12: KONNFRZLTU3U · pith_short_16: KONNFRZLTU3UWLPR · pith_short_8: KONNFRZL

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/KONNFRZLTU3UWLPRMUHBTVEOGD \
  | 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: 539ad2c72b9d374b2df1650e19d48e30d0f8e9c2d219d94752ded4b670554e06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1418fe4d4c4bd3be263199e96618f2468fa0ebb0ea10191e763ec0c4e68050c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-10-30T09:49:17Z",
    "title_canon_sha256": "532a343bb782acce0a786f86cb3331cfd46c50fab002358a6e5be5c75fefa4cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10832",
    "kind": "arxiv",
    "version": 3
  }
}