Pith Number

pith:PQNER3WW

pith:2015:PQNER3WWSY7JFS5J5PUOJS63PH

not attested not anchored not stored refs pending

On the GI-Completeness of a Sorting Networks Isomorphism

David Gregg, Martin Marinov

arxiv:1507.05841 v3 · 2015-07-21 · 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{PQNER3WWSY7JFS5J5PUOJS63PH}

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	2026-05-18T01:22:37.714742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c1a48eed6963e92cba9ebe8e4cbdb79c55830261ed42bcb17ae22db7bd2e2c4

Aliases

arxiv: 1507.05841 · arxiv_version: 1507.05841v3 · doi: 10.48550/arxiv.1507.05841 · pith_short_12: PQNER3WWSY7J · pith_short_16: PQNER3WWSY7JFS5J · pith_short_8: PQNER3WW

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/PQNER3WWSY7JFS5J5PUOJS63PH \
  | 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: 7c1a48eed6963e92cba9ebe8e4cbdb79c55830261ed42bcb17ae22db7bd2e2c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02945d487f0a6749575dd1a2854b3d0e254a6b417a863cd334639af91241e322",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-07-21T14:12:29Z",
    "title_canon_sha256": "7549e2c7959aabae98426e7c8a5bd3f94e5c0f52bb9dc47dbffc6819e64e9895"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05841",
    "kind": "arxiv",
    "version": 3
  }
}