Pith Number

pith:M4CHLP37

pith:2016:M4CHLP37NQONBSBFQ62IUSE7FA

not attested not anchored not stored refs pending

Bergman kernels, TYZ expansions and Hankel operators on the Kepler manifold

El-Hassan Youssfi, H\'el\`ene Bommier-Hato, Miroslav Engli\v{s}

arxiv:1601.03721 v1 · 2016-01-14 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4CHLP37NQONBSBFQ62IUSE7FA}

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	2026-05-18T01:22:52.799575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

670475bf7f6c1cd0c82587b48a489f28340fdcc02941a5b5f502157c69a771e8

Aliases

arxiv: 1601.03721 · arxiv_version: 1601.03721v1 · doi: 10.48550/arxiv.1601.03721 · pith_short_12: M4CHLP37NQON · pith_short_16: M4CHLP37NQONBSBF · pith_short_8: M4CHLP37

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/M4CHLP37NQONBSBFQ62IUSE7FA \
  | 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: 670475bf7f6c1cd0c82587b48a489f28340fdcc02941a5b5f502157c69a771e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "accdd1f516a42ca6ffa1851ae4c331e632bd3b096e52dfb3519c21eefc64f187",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-01-14T20:34:10Z",
    "title_canon_sha256": "0f8087071eb86e61a5898fe8418160bbb4bbc51bcb81c81982c981cb7c468a6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03721",
    "kind": "arxiv",
    "version": 1
  }
}