Pith Number

pith:Y4XHKYM6

pith:2011:Y4XHKYM64TWVCI54HEHWW2RVYT

not attested not anchored not stored refs pending

Quasi-Leontief utility functions on partially ordered sets I: efficient points

Charles Horvath, QiBin Liang, Walter Briec

arxiv:1102.2710 v1 · 2011-02-14 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4XHKYM64TWVCI54HEHWW2RVYT}

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	2026-05-18T04:28:46.651622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c72e75619ee4ed5123bc390f6b6a35c4eb3937cddd72a7e29f0fe65e6cb26c36

Aliases

arxiv: 1102.2710 · arxiv_version: 1102.2710v1 · doi: 10.48550/arxiv.1102.2710 · pith_short_12: Y4XHKYM64TWV · pith_short_16: Y4XHKYM64TWVCI54 · pith_short_8: Y4XHKYM6

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/Y4XHKYM64TWVCI54HEHWW2RVYT \
  | 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: c72e75619ee4ed5123bc390f6b6a35c4eb3937cddd72a7e29f0fe65e6cb26c36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2374d80cec060cb0c69bd4518874a3407b8f2bfc0d8b9a6b171e1941c9441e38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-02-14T09:34:39Z",
    "title_canon_sha256": "e1b1230e1dbceb3876a0214fb725d85c54ba7adaeb9b7172868737ea43c9edb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2710",
    "kind": "arxiv",
    "version": 1
  }
}