Pith Number

pith:32WBQ4ZZ

pith:2020:32WBQ4ZZ2W6T6ZB327SBIWGBPL

not attested not anchored not stored refs pending

Deterministic Decremental Reachability, SCC, and Shortest Paths via Directed Expanders and Congestion Balancing

Aaron Bernstein, Maximilian Probst Gutenberg, Thatchaphol Saranurak

arxiv:2009.02584 v3 · 2020-09-05 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32WBQ4ZZ2W6T6ZB327SBIWGBPL}

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.

Cited by

1 paper in Pith

A New Method for Finding the Schulze Winner Set

Receipt and verification

First computed	2026-07-05T02:07:30.675454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deac187339d5bd3f643bd7e41458c17adb77afd3bb004e7144522e4183a66bbc

Aliases

arxiv: 2009.02584 · arxiv_version: 2009.02584v3 · doi: 10.48550/arxiv.2009.02584 · pith_short_12: 32WBQ4ZZ2W6T · pith_short_16: 32WBQ4ZZ2W6T6ZB3 · pith_short_8: 32WBQ4ZZ

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/32WBQ4ZZ2W6T6ZB327SBIWGBPL \
  | 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: deac187339d5bd3f643bd7e41458c17adb77afd3bb004e7144522e4183a66bbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0734b1041efd5363c462952a20a2cc1ec35851acae38e4e95bd46dde21defae0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2020-09-05T19:11:13Z",
    "title_canon_sha256": "02e2fe2de075df2d02511b9d88de359504b8f7c8bcebf6cc0020a987d5b6b881"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.02584",
    "kind": "arxiv",
    "version": 3
  }
}