Pith Number

pith:K64NDRYE

pith:2017:K64NDRYEJ5QLDVVJNMRFSLHBUG

not attested not anchored not stored refs pending

Cubic Lagrange elements satisfying exact incompressibility

Johnny Guzman, Ridgway Scott

arxiv:1712.00672 v1 · 2017-12-02 · math.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{K64NDRYEJ5QLDVVJNMRFSLHBUG}

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	2026-05-18T00:29:02.206176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57b8d1c7044f60b1d6a96b22592ce1a19a3e80bc0cbbf71e4fba85af87d2b2a7

Aliases

arxiv: 1712.00672 · arxiv_version: 1712.00672v1 · doi: 10.48550/arxiv.1712.00672 · pith_short_12: K64NDRYEJ5QL · pith_short_16: K64NDRYEJ5QLDVVJ · pith_short_8: K64NDRYE

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/K64NDRYEJ5QLDVVJNMRFSLHBUG \
  | 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: 57b8d1c7044f60b1d6a96b22592ce1a19a3e80bc0cbbf71e4fba85af87d2b2a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56fadc640b58972ec794cca294a97734407e59f32b1dcc20dcb0b576612f6806",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-12-02T22:24:40Z",
    "title_canon_sha256": "8bd06a40c2ec71c2256513475b8017f1da654885c1e42af3d75582a0ed139f0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00672",
    "kind": "arxiv",
    "version": 1
  }
}