Pith Number

pith:SP3GSVJM

pith:2011:SP3GSVJMP24PQRELJQE6TC5MNF

not attested not anchored not stored refs pending

On the gap between ess(f) and cnf_size(f)

Devorah Kletenik, Lisa Hellerstein

arxiv:1106.4247 v1 · 2011-06-21 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SP3GSVJMP24PQRELJQE6TC5MNF}

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	2026-05-18T04:19:33.830198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93f669552c7eb8f8448b4c09e98bac697d76dadb436b6832f52f9aaeee2e93ca

Aliases

arxiv: 1106.4247 · arxiv_version: 1106.4247v1 · doi: 10.48550/arxiv.1106.4247 · pith_short_12: SP3GSVJMP24P · pith_short_16: SP3GSVJMP24PQREL · pith_short_8: SP3GSVJM

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/SP3GSVJMP24PQRELJQE6TC5MNF \
  | 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: 93f669552c7eb8f8448b4c09e98bac697d76dadb436b6832f52f9aaeee2e93ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9221ed83c97f13e383234c7bfd4df476096dff1803dcd16084d98b722a9a90f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-06-21T16:02:37Z",
    "title_canon_sha256": "5f718f358347a131f0d7bafeaa9a55c70c0e7f6b4e918bbe0703bdccf81e34bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4247",
    "kind": "arxiv",
    "version": 1
  }
}