Pith Number

pith:F7LGMZBZ

pith:2019:F7LGMZBZ72O3TLL6XN2JVUSAKO

not attested not anchored not stored refs pending

Multiply Periodic Splines

Guohui Zhao

arxiv:1908.02497 v1 · 2019-08-07 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F7LGMZBZ72O3TLL6XN2JVUSAKO}

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	2026-07-04T23:52:09.619029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fd6666439fe9db9ad7ebb749ad24053b092aee7e9072958966cc84372372279

Aliases

arxiv: 1908.02497 · arxiv_version: 1908.02497v1 · doi: 10.48550/arxiv.1908.02497 · pith_short_12: F7LGMZBZ72O3 · pith_short_16: F7LGMZBZ72O3TLL6 · pith_short_8: F7LGMZBZ

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/F7LGMZBZ72O3TLL6XN2JVUSAKO \
  | 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: 2fd6666439fe9db9ad7ebb749ad24053b092aee7e9072958966cc84372372279

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0496f944c06999a1a0344f9341f69140f4625e2e147aa4343dd4236d90b58958",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-08-07T09:30:37Z",
    "title_canon_sha256": "6ff15e920cbc498bcbdea73886cb70cc8278c7d0903c33701c2b3afc38e5e499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02497",
    "kind": "arxiv",
    "version": 1
  }
}