Pith Number

pith:SBGCZURL

pith:2017:SBGCZURLUCVLNSNNZULEX5U4Z3

not attested not anchored not stored refs pending

Minimum Circuit Size, Graph Isomorphism, and Related Problems

Andrew Morgan, Cristopher Moore, Dieter van Melkebeek, Eric Allender, Joshua A. Grochow

arxiv:1710.09806 v1 · 2017-10-26 · 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{SBGCZURLUCVLNSNNZULEX5U4Z3}

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	2026-05-18T00:31:56.441985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

904c2cd22ba0aab6c9adcd164bf69ccef0cbfc55c41e210b6e85d62c37e9091d

Aliases

arxiv: 1710.09806 · arxiv_version: 1710.09806v1 · doi: 10.48550/arxiv.1710.09806 · pith_short_12: SBGCZURLUCVL · pith_short_16: SBGCZURLUCVLNSNN · pith_short_8: SBGCZURL

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/SBGCZURLUCVLNSNNZULEX5U4Z3 \
  | 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: 904c2cd22ba0aab6c9adcd164bf69ccef0cbfc55c41e210b6e85d62c37e9091d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df2549e794173fbf4a09ac4c691ca5dd1c35f350075147cb3796874eaf10ba08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2017-10-26T16:55:23Z",
    "title_canon_sha256": "2d7eef2fcbf1e692b06d4fe92a67b98b369644b3d31937553be13ebae6bfee26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09806",
    "kind": "arxiv",
    "version": 1
  }
}