Pith Number

pith:CTLKS3RA

pith:2022:CTLKS3RAPLCYBL4JFFMPMSSZ56

not attested not anchored not stored refs pending

On proportionality in multi-issue problems with crossed claims

Encarnaci\'on Algaba, Joaqu\'in S\'anchez-Soriano, Rick K. Acosta-Vega

arxiv:2202.09877 v1 · 2022-02-20 · math.OC · cs.GT · 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{CTLKS3RAPLCYBL4JFFMPMSSZ56}

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	2026-07-05T03:58:26.953207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14d6a96e207ac580af892958f64a59efb0e79bcc8fd97afe208b2beaa4da831c

Aliases

arxiv: 2202.09877 · arxiv_version: 2202.09877v1 · doi: 10.48550/arxiv.2202.09877 · pith_short_12: CTLKS3RAPLCY · pith_short_16: CTLKS3RAPLCYBL4J · pith_short_8: CTLKS3RA

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/CTLKS3RAPLCYBL4JFFMPMSSZ56 \
  | 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: 14d6a96e207ac580af892958f64a59efb0e79bcc8fd97afe208b2beaa4da831c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e08de9c55a01dade05dff7893d01ea247973dd4d57fab3d041dae571c6cf6686",
    "cross_cats_sorted": [
      "cs.GT",
      "econ.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-02-20T17:57:40Z",
    "title_canon_sha256": "55942e78daa29b317c20819ffdd216847b0b82ef80ff5e28f824ff5bf2b69843"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.09877",
    "kind": "arxiv",
    "version": 1
  }
}