Pith Number

pith:MIP6IWTK

pith:2018:MIP6IWTKECCYCSOQ6TOIIF4OGN

not attested not anchored not stored refs pending

On the parameterized complexity of manipulating Top Trading Cycles

Christopher Purcell, William Phan

arxiv:1803.02409 v1 · 2018-03-06 · cs.GT · 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{MIP6IWTKECCYCSOQ6TOIIF4OGN}

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	2026-05-18T00:21:50.379972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

621fe45a6a20858149d0f4dc84178e33795c294529142c20dc872ea5c3224954

Aliases

arxiv: 1803.02409 · arxiv_version: 1803.02409v1 · doi: 10.48550/arxiv.1803.02409 · pith_short_12: MIP6IWTKECCY · pith_short_16: MIP6IWTKECCYCSOQ · pith_short_8: MIP6IWTK

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/MIP6IWTKECCYCSOQ6TOIIF4OGN \
  | 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: 621fe45a6a20858149d0f4dc84178e33795c294529142c20dc872ea5c3224954

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "997fe945b1839f5bbbe7f41dcee003c095946f26f4dc6c81752111f073d25d8c",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2018-03-06T20:00:14Z",
    "title_canon_sha256": "9b4d47cbbfc0876d631a7e05b226e5f9456b9ac8e256154cd85526b63efa67e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02409",
    "kind": "arxiv",
    "version": 1
  }
}