Pith Number

pith:NCELNFCP

pith:2015:NCELNFCPFU7OKDT7DCA6M7ZK7R

not attested not anchored not stored refs pending

Higher-order root distillers

M\'ario M. Gra\c{c}a

arxiv:1503.03161 v1 · 2015-03-11 · 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{NCELNFCPFU7OKDT7DCA6M7ZK7R}

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	2026-05-18T02:25:04.192073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6888b6944f2d3ee50e7f1881e67f2afc6d28508f0cd4222bf5499a2cc75286fd

Aliases

arxiv: 1503.03161 · arxiv_version: 1503.03161v1 · doi: 10.48550/arxiv.1503.03161 · pith_short_12: NCELNFCPFU7O · pith_short_16: NCELNFCPFU7OKDT7 · pith_short_8: NCELNFCP

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/NCELNFCPFU7OKDT7DCA6M7ZK7R \
  | 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: 6888b6944f2d3ee50e7f1881e67f2afc6d28508f0cd4222bf5499a2cc75286fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61d1edd043dd4bc0caf45810f1ca08bf8c1cd56aca1fa846a259def11ec3c48b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-03-11T03:24:11Z",
    "title_canon_sha256": "55f86f1d02f50b9065acd7b012940ca491671763e436c14097df9b4432452b60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03161",
    "kind": "arxiv",
    "version": 1
  }
}