Pith Number

pith:UCKCTWPN

pith:2022:UCKCTWPNQQXMWQ4DCDPHLO2YKK

not attested not anchored not stored refs pending

The Localization Game on Directed Graphs

Anthony Bonato, Brittany Pittman, Ryan Cushman, Trent G. Marbach

arxiv:2208.07788 v1 · 2022-08-16 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UCKCTWPNQQXMWQ4DCDPHLO2YKK}

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	2026-07-05T04:49:08.963451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a09429d9ed842ecb438310de75bb58528aae0b8c4b39c909ea8ac6c75ebcc945

Aliases

arxiv: 2208.07788 · arxiv_version: 2208.07788v1 · doi: 10.48550/arxiv.2208.07788 · pith_short_12: UCKCTWPNQQXM · pith_short_16: UCKCTWPNQQXMWQ4D · pith_short_8: UCKCTWPN

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/UCKCTWPNQQXMWQ4DCDPHLO2YKK \
  | 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: a09429d9ed842ecb438310de75bb58528aae0b8c4b39c909ea8ac6c75ebcc945

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9289477e35e47a0851989198d87a627928c449d754f172da7312f005e44fc26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-08-16T14:55:11Z",
    "title_canon_sha256": "786a76f86b38a1607b67cf5c3a48024a8e5580a8f8443d5e0ea598e1b11b1d17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.07788",
    "kind": "arxiv",
    "version": 1
  }
}