Pith Number

pith:P2JBTPYG

pith:2021:P2JBTPYGIPSLPPC2GAVKMBEX2Z

not attested not anchored not stored refs pending

Logarithmic algorithms for fair division problems

Alexandr Grebennikov, Andrei V. Malyutin, Mikhail Mikhailov, Oleg R. Musin, Xenia Isaeva

arxiv:2112.13622 v4 · 2021-12-27 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P2JBTPYGIPSLPPC2GAVKMBEX2Z}

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	2026-07-05T07:12:45.833090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e9219bf0643e4b7bc5a302aa60497d67dca823d74691c832568b915b8bd47f7

Aliases

arxiv: 2112.13622 · arxiv_version: 2112.13622v4 · doi: 10.48550/arxiv.2112.13622 · pith_short_12: P2JBTPYGIPSL · pith_short_16: P2JBTPYGIPSLPPC2 · pith_short_8: P2JBTPYG

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/P2JBTPYGIPSLPPC2GAVKMBEX2Z \
  | 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: 7e9219bf0643e4b7bc5a302aa60497d67dca823d74691c832568b915b8bd47f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a64734b31808485d36c332563ba262ecc063c2692ecee24b62c3947bd3b2d268",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-12-27T11:55:10Z",
    "title_canon_sha256": "cad13b9b023c0534cea309acc40e1e31cfd08bb56c3d98a2eb24f2bcf30250a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.13622",
    "kind": "arxiv",
    "version": 4
  }
}