Pith Number

pith:IV2VW2UB

pith:2021:IV2VW2UBMB6YO6FHZXWULFRBHC

not attested not anchored not stored refs pending

Separator logic and star-free expressions for graphs

Mikolaj Bojanczyk

arxiv:2107.13953 v2 · 2021-07-29 · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IV2VW2UBMB6YO6FHZXWULFRBHC}

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

Low rank MSO

Receipt and verification

First computed	2026-07-05T03:10:54.692024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45755b6a81607d8778a7cded459621389880d25b608d01262aacdaf6648f140c

Aliases

arxiv: 2107.13953 · arxiv_version: 2107.13953v2 · doi: 10.48550/arxiv.2107.13953 · pith_short_12: IV2VW2UBMB6Y · pith_short_16: IV2VW2UBMB6YO6FH · pith_short_8: IV2VW2UB

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/IV2VW2UBMB6YO6FHZXWULFRBHC \
  | 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: 45755b6a81607d8778a7cded459621389880d25b608d01262aacdaf6648f140c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66484d4d9a7887ee4b2062e4601afdf262d6fc6ffd9147f383a8205b6b625e0b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2021-07-29T13:28:46Z",
    "title_canon_sha256": "5c606b7108a14f27190201d5ba599f65ad961b54adeddc818721ad0ae3b27873"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.13953",
    "kind": "arxiv",
    "version": 2
  }
}