Pith Number

pith:63XSAIQE

pith:2017:63XSAIQEP2EN54LD7PLMYBY7XO

not attested not anchored not stored refs pending

Sampling with positive definite kernels and an associated dichotomy

Feng Tian, Palle Jorgensen

arxiv:1708.06016 v1 · 2017-08-20 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63XSAIQEP2EN54LD7PLMYBY7XO}

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	2026-05-18T00:37:43.537332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6ef2022047e88def163fbd6cc071fbbb6ad6260346c0bd26d09d5d566d18e2f

Aliases

arxiv: 1708.06016 · arxiv_version: 1708.06016v1 · doi: 10.48550/arxiv.1708.06016 · pith_short_12: 63XSAIQEP2EN · pith_short_16: 63XSAIQEP2EN54LD · pith_short_8: 63XSAIQE

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/63XSAIQEP2EN54LD7PLMYBY7XO \
  | 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: f6ef2022047e88def163fbd6cc071fbbb6ad6260346c0bd26d09d5d566d18e2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bea1a95ab3e66dd2a2b7f59fd4b1f06f9bd8543805db240270fe5524611eba10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-08-20T20:38:54Z",
    "title_canon_sha256": "3902301a0dec2005266d5609a33440f9c2b076d93c2ee7096b49ae2518b58350"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06016",
    "kind": "arxiv",
    "version": 1
  }
}