Pith Number

pith:P7O65BOO

pith:2015:P7O65BOOXHWJV77QD4G3GLEOQB

not attested not anchored not stored refs pending

A mapping defined by the Schur-Szeg\H{o} composition

Vladimir Petrov Kostov

arxiv:1504.01870 v1 · 2015-04-08 · 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{P7O65BOOXHWJV77QD4G3GLEOQB}

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	2026-05-18T02:19:17.978102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fddee85ceb9ec9afff01f0db32c8e80744eeb5c25b6afe66de38380d4d15683

Aliases

arxiv: 1504.01870 · arxiv_version: 1504.01870v1 · doi: 10.48550/arxiv.1504.01870 · pith_short_12: P7O65BOOXHWJ · pith_short_16: P7O65BOOXHWJV77Q · pith_short_8: P7O65BOO

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/P7O65BOOXHWJV77QD4G3GLEOQB \
  | 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: 7fddee85ceb9ec9afff01f0db32c8e80744eeb5c25b6afe66de38380d4d15683

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2573cf1ae63fe10c1ecee99c1ceae0acb5c482bcc22d563a75131b501bafc6dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-04-08T09:08:51Z",
    "title_canon_sha256": "21139a08e2ecf524fb1422e58d5b0b8d87f494593be61deed41ab3acdd31b16d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01870",
    "kind": "arxiv",
    "version": 1
  }
}