Pith Number

pith:7LEOI2ZZ

pith:2011:7LEOI2ZZ7Y4K3ZPLEQC6RCD3QG

not attested not anchored not stored refs pending

Partially Symmetric Functions are Efficiently Isomorphism-Testable

Amit Weinstein, Eric Blais, Yuichi Yoshida

arxiv:1112.5741 v1 · 2011-12-24 · cs.DS · cs.CC · 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{7LEOI2ZZ7Y4K3ZPLEQC6RCD3QG}

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	2026-05-18T04:05:37.686704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fac8e46b39fe38ade5eb2405e8887b81a77a1f6b3542c00e065e29830d4fe106

Aliases

arxiv: 1112.5741 · arxiv_version: 1112.5741v1 · doi: 10.48550/arxiv.1112.5741 · pith_short_12: 7LEOI2ZZ7Y4K · pith_short_16: 7LEOI2ZZ7Y4K3ZPL · pith_short_8: 7LEOI2ZZ

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/7LEOI2ZZ7Y4K3ZPLEQC6RCD3QG \
  | 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: fac8e46b39fe38ade5eb2405e8887b81a77a1f6b3542c00e065e29830d4fe106

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "206c6014f7febc584481f1d3352aaa4b992288c6ff09a9e6d8afd2311c743d10",
    "cross_cats_sorted": [
      "cs.CC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-12-24T17:23:14Z",
    "title_canon_sha256": "fde4ba70f15e1a0cd47cef451c6f27717b75534490939cebb758719f3c86e434"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5741",
    "kind": "arxiv",
    "version": 1
  }
}