Pith Number

pith:HELHC3A6

pith:2018:HELHC3A6XY7VOOWEPZ5IK4PBPW

not attested not anchored not stored refs pending

Propagation of regularity and positive definiteness: a constructive approach

Ant\'onio Paix\~ao, Claudemir Oliveira, Jorge Buescu

arxiv:1802.07092 v1 · 2018-02-20 · math.CV · 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{HELHC3A6XY7VOOWEPZ5IK4PBPW}

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	2026-05-18T00:22:53.569606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3916716c1ebe3f573ac47e7a8571e17d868b0973a780be38286d28ef14153531

Aliases

arxiv: 1802.07092 · arxiv_version: 1802.07092v1 · doi: 10.48550/arxiv.1802.07092 · pith_short_12: HELHC3A6XY7V · pith_short_16: HELHC3A6XY7VOOWE · pith_short_8: HELHC3A6

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/HELHC3A6XY7VOOWEPZ5IK4PBPW \
  | 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: 3916716c1ebe3f573ac47e7a8571e17d868b0973a780be38286d28ef14153531

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13d981975f8d40c619cbab4fce3b658bd2c641aff6e27a85b12dadabf5309ef4",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-02-20T12:48:20Z",
    "title_canon_sha256": "77de2cc91c3975a31dc68f5be23390a1408d9deb7544cec2c9d6180295292f76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.07092",
    "kind": "arxiv",
    "version": 1
  }
}