Pith Number

pith:CVFA55KK

pith:2015:CVFA55KK5FBWNFGZ3VDWFL4FDS

not attested not anchored not stored refs pending

Counting independent terms in big-oh notation

Fabiano de S. Oliveira, Valmir C. Barbosa

arxiv:1512.09363 v1 · 2015-12-31 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CVFA55KK5FBWNFGZ3VDWFL4FDS}

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	2026-05-18T00:30:55.594264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

154a0ef54ae9436694d9dd4762af851c9254de5ac649fff286ebb37aff9ac663

Aliases

arxiv: 1512.09363 · arxiv_version: 1512.09363v1 · doi: 10.48550/arxiv.1512.09363 · pith_short_12: CVFA55KK5FBW · pith_short_16: CVFA55KK5FBWNFGZ · pith_short_8: CVFA55KK

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/CVFA55KK5FBWNFGZ3VDWFL4FDS \
  | 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: 154a0ef54ae9436694d9dd4762af851c9254de5ac649fff286ebb37aff9ac663

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59fa87592c1908c1d21f4b2c9654595e15c48ce0bd950364b86a3a7f87f2a019",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-12-31T20:47:11Z",
    "title_canon_sha256": "9a8b1e62f4ea9318743de86b5fbb7c578d144897e08809196ee438fd8e6f8a1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09363",
    "kind": "arxiv",
    "version": 1
  }
}