Pith Number

pith:KCH2Z455

pith:2012:KCH2Z455BZIZ7CMOCO552MY4NN

not attested not anchored not stored refs pending

Sampling-based proofs of almost-periodicity results and algorithmic applications

Eli Ben-Sasson, Julia Wolf, Madhur Tulsiani, Noga Ron-Zewi

arxiv:1210.6917 v1 · 2012-10-25 · cs.DM · cs.DS · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCH2Z455BZIZ7CMOCO552MY4NN}

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	2026-05-17T23:43:28.902739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

508facf3bd0e519f898e13bbdd331c6b64838255d5849df8f0349c3f8cd6273f

Aliases

arxiv: 1210.6917 · arxiv_version: 1210.6917v1 · doi: 10.48550/arxiv.1210.6917 · pith_short_12: KCH2Z455BZIZ · pith_short_16: KCH2Z455BZIZ7CMO · pith_short_8: KCH2Z455

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/KCH2Z455BZIZ7CMOCO552MY4NN \
  | 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: 508facf3bd0e519f898e13bbdd331c6b64838255d5849df8f0349c3f8cd6273f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93909d9c0c1a9fc4d430041993988baad438c0842195e8e0d9e2201005d03921",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-10-25T17:24:57Z",
    "title_canon_sha256": "5885f640a43c0458ab86f233cadc1dee1389dccaf8cabb6042622d26fdf73a38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6917",
    "kind": "arxiv",
    "version": 1
  }
}