Pith Number

pith:IOGU5F6I

pith:2016:IOGU5F6IYQFU7BOIXZX2I7IFMG

not attested not anchored not stored refs pending

Cycles and Intractability in a Large Class of Aggregation Rules

William S. Zwicker

arxiv:1608.03999 v2 · 2016-08-13 · cs.GT · cs.CC · cs.DM · 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{IOGU5F6IYQFU7BOIXZX2I7IFMG}

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	2026-05-18T00:04:24.336567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

438d4e97c8c40b4f85c8be6fa47d0561a7dd262c404c7bc2f8d8bd5a693a2c1a

Aliases

arxiv: 1608.03999 · arxiv_version: 1608.03999v2 · doi: 10.48550/arxiv.1608.03999 · pith_short_12: IOGU5F6IYQFU · pith_short_16: IOGU5F6IYQFU7BOI · pith_short_8: IOGU5F6I

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/IOGU5F6IYQFU7BOIXZX2I7IFMG \
  | 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: 438d4e97c8c40b4f85c8be6fa47d0561a7dd262c404c7bc2f8d8bd5a693a2c1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28d99c01d88ddad5adc2e2aac7c9ff588b3bc0cfb4f60eca698297fb1b02b05f",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2016-08-13T16:20:33Z",
    "title_canon_sha256": "757806ed73ccd91d2542548be4399fe816a4f37043d6002b54e4aa8f75660424"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03999",
    "kind": "arxiv",
    "version": 2
  }
}