Pith Number

pith:NGHLEZ5Y

pith:2017:NGHLEZ5YPJZ532FV5CB5S6UNTP

not attested not anchored not stored refs pending

Non-local Gehring lemmas in spaces of homogeneous type and applications

Moritz Egert (LM-Orsay), Olli Saari, Pascal Auscher (LM-Orsay), Simon Bortz

arxiv:1707.02080 v2 · 2017-07-07 · math.CA · 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{NGHLEZ5YPJZ532FV5CB5S6UNTP}

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	2026-05-18T00:06:41.707653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

698eb267b87a73dde8b5e883d97a8d9bd0f7dc2895961574d88bbcd013525bbb

Aliases

arxiv: 1707.02080 · arxiv_version: 1707.02080v2 · doi: 10.48550/arxiv.1707.02080 · pith_short_12: NGHLEZ5YPJZ5 · pith_short_16: NGHLEZ5YPJZ532FV · pith_short_8: NGHLEZ5Y

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/NGHLEZ5YPJZ532FV5CB5S6UNTP \
  | 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: 698eb267b87a73dde8b5e883d97a8d9bd0f7dc2895961574d88bbcd013525bbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6761a65365d18b64a9d99872a0edc17f090850f7f0ec58adaa06073a7870bd59",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-07-07T08:48:03Z",
    "title_canon_sha256": "304bc5f660c3231a21ffc1b7224694d1aced8f66f1f8548ca39ab99c5b52839a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02080",
    "kind": "arxiv",
    "version": 2
  }
}