Pith Number

pith:4DTNT6MJ

pith:2014:4DTNT6MJYU7RV636ABY6SSRWLA

not attested not anchored not stored refs pending

A Fatou theorem for $F$-harmonic functions

S\'ebastien Alvarez

arxiv:1407.0679 v3 · 2014-07-02 · math.DS · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4DTNT6MJYU7RV636ABY6SSRWLA}

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	2026-05-18T01:02:29.038911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0e6d9f989c53f1afb7e0071e94a365804c512f5012439b469e340c015f6041d

Aliases

arxiv: 1407.0679 · arxiv_version: 1407.0679v3 · doi: 10.48550/arxiv.1407.0679 · pith_short_12: 4DTNT6MJYU7R · pith_short_16: 4DTNT6MJYU7RV636 · pith_short_8: 4DTNT6MJ

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/4DTNT6MJYU7RV636ABY6SSRWLA \
  | 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: e0e6d9f989c53f1afb7e0071e94a365804c512f5012439b469e340c015f6041d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6ef90e7d7c1778f4c82bb0ab04bc369310a272b9946bcd44fa583f9bb250589",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-07-02T18:56:23Z",
    "title_canon_sha256": "ec1c3ba02adcf030b939a483940c57d665a785ba257f228a09a1610354237140"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0679",
    "kind": "arxiv",
    "version": 3
  }
}