Pith Number

pith:WUMXXP56

pith:2017:WUMXXP56VW2YM6GHNRPJZHEAYH

not attested not anchored not stored refs pending

Fair division with multiple pieces

Francis Edward Su, Kathryn Nyman, Shira Zerbib

arxiv:1710.09477 v1 · 2017-10-25 · 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{WUMXXP56VW2YM6GHNRPJZHEAYH}

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	2026-05-18T00:31:59.303043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5197bbfbeadb58678c76c5e9c9c80c1fd009355873bd25ca20f71d787e5ed63

Aliases

arxiv: 1710.09477 · arxiv_version: 1710.09477v1 · doi: 10.48550/arxiv.1710.09477 · pith_short_12: WUMXXP56VW2Y · pith_short_16: WUMXXP56VW2YM6GH · pith_short_8: WUMXXP56

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/WUMXXP56VW2YM6GHNRPJZHEAYH \
  | 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: b5197bbfbeadb58678c76c5e9c9c80c1fd009355873bd25ca20f71d787e5ed63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26385f2fdcde38cdcda0a244336f34e72da9ef1b2b96a5b68dfe31e1f3296bc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-25T22:04:28Z",
    "title_canon_sha256": "0bee8fae160b82557abdc02ba14705c8d4242f4a75a2f73412918f0e15aa221f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09477",
    "kind": "arxiv",
    "version": 1
  }
}