Pith Number

pith:SAP3R7R2

pith:2017:SAP3R7R22MQ6GZCTFH3EONOMPI

not attested not anchored not stored refs pending

Geometry of mean value sets for general divergence form uniformly elliptic operators

Ashok Aryal, Ivan Blank

arxiv:1704.07929 v1 · 2017-04-25 · 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{SAP3R7R22MQ6GZCTFH3EONOMPI}

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	2026-05-18T00:45:31.495378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

901fb8fe3ad321e3645329f64735cc7a1bdc2b1b6aa0976e9dda6ed75ab23145

Aliases

arxiv: 1704.07929 · arxiv_version: 1704.07929v1 · doi: 10.48550/arxiv.1704.07929 · pith_short_12: SAP3R7R22MQ6 · pith_short_16: SAP3R7R22MQ6GZCT · pith_short_8: SAP3R7R2

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/SAP3R7R22MQ6GZCTFH3EONOMPI \
  | 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: 901fb8fe3ad321e3645329f64735cc7a1bdc2b1b6aa0976e9dda6ed75ab23145

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6818ee337dc7c01aa4b2925e8831ad4529e80c8a1a38e845f1a7004432f42eb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-04-25T23:23:36Z",
    "title_canon_sha256": "51820e7991a97212f57cf1d05bb71b1c964217bed60e53f74cf6e51f0980eb0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07929",
    "kind": "arxiv",
    "version": 1
  }
}