Pith Number

pith:F2HJ2ZZW

pith:2012:F2HJ2ZZWKYPLBQEOV3JW54MDN3

not attested not anchored not stored refs pending

Every locally characterized affine-invariant property is testable

Arnab Bhattacharyya, Eldar Fischer, Hamed Hatami, Pooya Hatami, Shachar Lovett

arxiv:1212.3849 v2 · 2012-12-16 · cs.CC · 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{F2HJ2ZZWKYPLBQEOV3JW54MDN3}

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	2026-05-18T03:36:15.648687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e8e9d6736561eb0c08eaed36ef1836efa1645884634741314897a674e1e8961

Aliases

arxiv: 1212.3849 · arxiv_version: 1212.3849v2 · doi: 10.48550/arxiv.1212.3849 · pith_short_12: F2HJ2ZZWKYPL · pith_short_16: F2HJ2ZZWKYPLBQEO · pith_short_8: F2HJ2ZZW

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/F2HJ2ZZWKYPLBQEOV3JW54MDN3 \
  | 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: 2e8e9d6736561eb0c08eaed36ef1836efa1645884634741314897a674e1e8961

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aeb52daac48737b63b786928f54cf499474c699843f35b1b2610c4ef7cef8b43",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-12-16T23:22:01Z",
    "title_canon_sha256": "c09c24feeca466771ec7b8644a9a636c5502cc10fb74e5d90537db70cdd84a92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3849",
    "kind": "arxiv",
    "version": 2
  }
}