Pith Number

pith:47VSVEO2

pith:2024:47VSVEO2SIN45BPZO7MBNB75XG

not attested not anchored not stored refs pending

Supercritical Size-Width Tree-Like Resolution Trade-Offs for Graph Isomorphism

Christoph Berkholz, Harry Vinall-Smeeth, Moritz Lichter

arxiv:2407.17947 v2 · 2024-07-25 · cs.LO · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{47VSVEO2SIN45BPZO7MBNB75XG}

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

Supercritical Tradeoffs for Monotone Circuits

Receipt and verification

First computed	2026-07-05T11:34:42.688561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7eb2a91da921bce85f977d81687fdb981c309cd165404ab92abda000d9c3123

Aliases

arxiv: 2407.17947 · arxiv_version: 2407.17947v2 · doi: 10.48550/arxiv.2407.17947 · pith_short_12: 47VSVEO2SIN4 · pith_short_16: 47VSVEO2SIN45BPZ · pith_short_8: 47VSVEO2

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/47VSVEO2SIN45BPZO7MBNB75XG \
  | 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: e7eb2a91da921bce85f977d81687fdb981c309cd165404ab92abda000d9c3123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df16713817c2bdeeada39b06de2dca8f7e7bcee809bd482001b1aa8c18f69e3c",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2024-07-25T11:07:28Z",
    "title_canon_sha256": "1a5ca05657cae0d942cdb6a2a15aed74f784b27461420ce510701f8ea9120a62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.17947",
    "kind": "arxiv",
    "version": 2
  }
}