Pith Number

pith:SQF6N2KI

pith:2026:SQF6N2KIKERDBEMMUSXTIBTMNM

not attested not anchored not stored refs pending

Efficiency Adjustments Break the Logarithmic Rank Barrier

Gabriel Ziegler, Geng Zhao, Josue Ortega

arxiv:2608.09984 v1 · 2026-08-05 · 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{SQF6N2KIKERDBEMMUSXTIBTMNM}

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	2026-08-12T00:22:32.117195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

940be6e948512230918ca4af34066c6b1e59ce524a675a823fefd13f7e574fba

Aliases

arxiv: 2608.09984 · arxiv_version: 2608.09984v1 · doi: 10.48550/arxiv.2608.09984 · pith_short_12: SQF6N2KIKERD · pith_short_16: SQF6N2KIKERDBEMM · pith_short_8: SQF6N2KI

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/SQF6N2KIKERDBEMMUSXTIBTMNM \
  | 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: 940be6e948512230918ca4af34066c6b1e59ce524a675a823fefd13f7e574fba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2405bbc468169025f51327ada6d0b7e52c62133a04c14dc8dd32ec6e93c5dcc",
    "cross_cats_sorted": [
      "econ.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-08-05T13:44:11Z",
    "title_canon_sha256": "da64faa1dabdecf4bce6979f77af96037ac94b42e4b1d6722b27721695b23c0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09984",
    "kind": "arxiv",
    "version": 1
  }
}