Pith Number

pith:WQRCKDWJ

pith:2021:WQRCKDWJGWJRARK5ZVIZIMY7M6

not attested not anchored not stored refs pending

Fair division of graphs and of tangled cakes

Ayumi Igarashi, William S. Zwicker

arxiv:2102.08560 v1 · 2021-02-17 · math.CO · cs.DM · cs.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WQRCKDWJGWJRARK5ZVIZIMY7M6}

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	2026-07-05T02:16:04.600601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b422250ec9359310455dcd5194331f67a842968c3f856564f7131465eac988e0

Aliases

arxiv: 2102.08560 · arxiv_version: 2102.08560v1 · doi: 10.48550/arxiv.2102.08560 · pith_short_12: WQRCKDWJGWJR · pith_short_16: WQRCKDWJGWJRARK5 · pith_short_8: WQRCKDWJ

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/WQRCKDWJGWJRARK5ZVIZIMY7M6 \
  | 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: b422250ec9359310455dcd5194331f67a842968c3f856564f7131465eac988e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1103c222c98b735ffed4ccfa1b6e0fc454f36822085b9ea41da034f9429da3d",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-02-17T04:01:42Z",
    "title_canon_sha256": "cc184eaa79b814e86c9d3edf4ae951dccc5464ac1da2db309e2caad2dd2f533b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.08560",
    "kind": "arxiv",
    "version": 1
  }
}