Pith Number

pith:PIF6IQNS

pith:2009:PIF6IQNSAJEE44IWTXD5B3HFQM

not attested not anchored not stored refs pending

Counterexamples in the theory of fair division

Kent E. Morrison, Theodore P. Hill

arxiv:0901.2360 v1 · 2009-01-15 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PIF6IQNSAJEE44IWTXD5B3HFQM}

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	2026-05-18T04:06:08.320893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a0be441b202484e71169dc7d0ece583383ff5d8e4d7b55388cfaaef2d3c4469

Aliases

arxiv: 0901.2360 · arxiv_version: 0901.2360v1 · doi: 10.48550/arxiv.0901.2360 · pith_short_12: PIF6IQNSAJEE · pith_short_16: PIF6IQNSAJEE44IW · pith_short_8: PIF6IQNS

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/PIF6IQNSAJEE44IWTXD5B3HFQM \
  | 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: 7a0be441b202484e71169dc7d0ece583383ff5d8e4d7b55388cfaaef2d3c4469

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29265a6e52312d4bfc2df327a48f57acfed70589e245482ac238ce466e84b15d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-01-15T22:11:39Z",
    "title_canon_sha256": "05e252e0a8ba61f60a639bee930d9a9bd0825e5b755d27f02ea5061b8abcfbd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.2360",
    "kind": "arxiv",
    "version": 1
  }
}