Pith Number

pith:ZPTJI36O

pith:2018:ZPTJI36OEC22S2AGSQ34HHQII3

not attested not anchored not stored refs pending

Compactness methods for $\Gamma^{1,\alpha}$ boundary Schauder estimates in Carnot groups

Agnid Banerjee, Isidro Munive, Nicola Garofalo

arxiv:1804.06697 v2 · 2018-04-18 · 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{ZPTJI36OEC22S2AGSQ34HHQII3}

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	2026-05-18T00:01:15.037221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbe6946fce20b5a968069437c39e0846fef5aa4b1b9db85f15d6dd493a845647

Aliases

arxiv: 1804.06697 · arxiv_version: 1804.06697v2 · doi: 10.48550/arxiv.1804.06697 · pith_short_12: ZPTJI36OEC22 · pith_short_16: ZPTJI36OEC22S2AG · pith_short_8: ZPTJI36O

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/ZPTJI36OEC22S2AGSQ34HHQII3 \
  | 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: cbe6946fce20b5a968069437c39e0846fef5aa4b1b9db85f15d6dd493a845647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4fed06cdb7cfa843c2ac5d066d0b4f281f84ef1d7da120b5ddfeb509fc7007d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-18T13:07:29Z",
    "title_canon_sha256": "02ab03215fa74f49aed0f7d78f5e64e813bf27867320b4de259cbca4f9503785"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06697",
    "kind": "arxiv",
    "version": 2
  }
}