Pith Number

pith:5HFCU55Y

pith:2026:5HFCU55YCUKEIAWY4UTEO54SME

not attested not anchored not stored refs pending

Fair Division with Strictly Increasing Valuations: A Tight Threshold for Two-Agent EF1 and PO

Nicholas Teh

arxiv:2607.23367 v1 · 2026-07-25 · cs.GT · cs.AI · econ.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5HFCU55YCUKEIAWY4UTEO54SME}

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	2026-07-28T01:22:49.432442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9ca2a77b815144402d8e5264777926120ac4de61888e3ab1ffcb7744f7e52ed

Aliases

arxiv: 2607.23367 · arxiv_version: 2607.23367v1 · doi: 10.48550/arxiv.2607.23367 · pith_short_12: 5HFCU55YCUKE · pith_short_16: 5HFCU55YCUKEIAWY · pith_short_8: 5HFCU55Y

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/5HFCU55YCUKEIAWY4UTEO54SME \
  | 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: e9ca2a77b815144402d8e5264777926120ac4de61888e3ab1ffcb7744f7e52ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a777c2ec8c7e23f515db5a9a41ca156a5132e5b7a1e091c93586b1554f12800",
    "cross_cats_sorted": [
      "cs.AI",
      "econ.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-07-25T21:17:38Z",
    "title_canon_sha256": "05e65f5ebccd139a1052c5d0b3c364f94138b580e7c950b96f88d7a7fa646c50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23367",
    "kind": "arxiv",
    "version": 1
  }
}