Pith Number

pith:UD72NZOI

pith:2017:UD72NZOIJUJF26WAEBLEYIAUPQ

not attested not anchored not stored refs pending

Parametric Summability and Its Applications

Jinlu Li, Robert Mendris

arxiv:1708.09591 v1 · 2017-08-31 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UD72NZOIJUJF26WAEBLEYIAUPQ}

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	2026-05-18T00:36:16.029781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0ffa6e5c84d125d7ac020564c20147c12a64c274f77e6173141241cc1422afe

Aliases

arxiv: 1708.09591 · arxiv_version: 1708.09591v1 · doi: 10.48550/arxiv.1708.09591 · pith_short_12: UD72NZOIJUJF · pith_short_16: UD72NZOIJUJF26WA · pith_short_8: UD72NZOI

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/UD72NZOIJUJF26WAEBLEYIAUPQ \
  | 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: a0ffa6e5c84d125d7ac020564c20147c12a64c274f77e6173141241cc1422afe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88d0cf9ac7eb0c78727e1e0cc94f711907d517a3c5dd0f73e490ec3208df0d89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-08-31T07:13:46Z",
    "title_canon_sha256": "e3c4bb7fb214f9c3e8c1f66ce346ad1f2b21c1091599566912f5396a99f01e36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09591",
    "kind": "arxiv",
    "version": 1
  }
}