Pith Number

pith:VROB7GX4

pith:2012:VROB7GX4I3SW3YHJ2FW7YDTLIR

not attested not anchored not stored refs pending

New NP-hardness results for 3-Coloring and 2-to-1 Label Cover

John Wright, Li-Yang Tan, Per Austrin, Ryan O'Donnell

arxiv:1210.5648 v2 · 2012-10-20 · 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{VROB7GX4I3SW3YHJ2FW7YDTLIR}

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	2026-05-18T03:42:10.838154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac5c1f9afc46e56de0e9d16dfc0e6b447b94052900fb78e9a2ae2e96321f1063

Aliases

arxiv: 1210.5648 · arxiv_version: 1210.5648v2 · doi: 10.48550/arxiv.1210.5648 · pith_short_12: VROB7GX4I3SW · pith_short_16: VROB7GX4I3SW3YHJ · pith_short_8: VROB7GX4

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/VROB7GX4I3SW3YHJ2FW7YDTLIR \
  | 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: ac5c1f9afc46e56de0e9d16dfc0e6b447b94052900fb78e9a2ae2e96321f1063

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7ceda9da8b1753447ecf88253617314b31b5ef670f35c70e35d95ce2d04db7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-10-20T19:34:22Z",
    "title_canon_sha256": "9e5e207028492b9aaa0afd362faeefc4b8dea2a7a288fa8c90762776fc075b43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5648",
    "kind": "arxiv",
    "version": 2
  }
}