Pith Number

pith:BGP5LNCB

pith:2011:BGP5LNCBXHHVDTFTDJ5W7EJRBU

not attested not anchored not stored refs pending

Complexity of the homomorphism extension problem in the random case

Alexandr Kazda

arxiv:1106.0663 v5 · 2011-06-03 · 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{BGP5LNCBXHHVDTFTDJ5W7EJRBU}

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	2026-05-18T03:46:45.578226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

099fd5b441b9cf51ccb31a7b6f91310d2d371eaa7ee60e55a36dcafbe515bc17

Aliases

arxiv: 1106.0663 · arxiv_version: 1106.0663v5 · doi: 10.48550/arxiv.1106.0663 · pith_short_12: BGP5LNCBXHHV · pith_short_16: BGP5LNCBXHHVDTFT · pith_short_8: BGP5LNCB

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/BGP5LNCBXHHVDTFTDJ5W7EJRBU \
  | 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: 099fd5b441b9cf51ccb31a7b6f91310d2d371eaa7ee60e55a36dcafbe515bc17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a76c6c932dd2e4f5d82bd178cb989eff400ecd80c12d979c6f7d4326172b74d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-03T14:49:27Z",
    "title_canon_sha256": "45924f3e2097875f3ae8da99bb505cfc03f01bcf3daa4e4b18267df2a098bd82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0663",
    "kind": "arxiv",
    "version": 5
  }
}