Pith Number

pith:W7NO4E4L

pith:2012:W7NO4E4L3VRVT5DC7XQ27TUTFD

not attested not anchored not stored refs pending

The Complexity of the Comparator Circuit Value Problem

Dai Tri Man Le, Stephen A. Cook, Yuval Filmus

arxiv:1208.2721 v3 · 2012-08-13 · 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{W7NO4E4L3VRVT5DC7XQ27TUTFD}

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	2026-05-18T03:17:34.218503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7daee138bdd6359f462fde1afce9328d481157d1c5c70e50dcbf66b20dba835

Aliases

arxiv: 1208.2721 · arxiv_version: 1208.2721v3 · doi: 10.48550/arxiv.1208.2721 · pith_short_12: W7NO4E4L3VRV · pith_short_16: W7NO4E4L3VRVT5DC · pith_short_8: W7NO4E4L

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/W7NO4E4L3VRVT5DC7XQ27TUTFD \
  | 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: b7daee138bdd6359f462fde1afce9328d481157d1c5c70e50dcbf66b20dba835

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "538c4b73c0ffe4e27bf2cbc2c2a7aee71ac4e685d94934eb24040afa79ffbfee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-08-13T22:24:45Z",
    "title_canon_sha256": "27e66f89d6d89570d575e0c62fae7cc1a9ba91ccab63a6367af079e3df638dc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2721",
    "kind": "arxiv",
    "version": 3
  }
}