Pith Number

pith:42ILVD4N

pith:2015:42ILVD4NPRXMVKJXOZDETQLLJB

not attested not anchored not stored refs pending

Musings on generic-case complexity

Ilya Kapovich

arxiv:1505.03218 v1 · 2015-05-13 · cs.CC · math.GR · math.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{42ILVD4NPRXMVKJXOZDETQLLJB}

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	2026-05-18T02:12:10.061483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e690ba8f8d7c6ecaa937764649c16b4855fcbbfaca9c8477c54e5b2beb518190

Aliases

arxiv: 1505.03218 · arxiv_version: 1505.03218v1 · doi: 10.48550/arxiv.1505.03218 · pith_short_12: 42ILVD4NPRXM · pith_short_16: 42ILVD4NPRXMVKJX · pith_short_8: 42ILVD4N

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/42ILVD4NPRXMVKJXOZDETQLLJB \
  | 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: e690ba8f8d7c6ecaa937764649c16b4855fcbbfaca9c8477c54e5b2beb518190

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "761d4c632e550c41d892e898a379f44a99917cf59ad6a8369e33db0fb5b4e187",
    "cross_cats_sorted": [
      "math.GR",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-05-13T02:08:12Z",
    "title_canon_sha256": "c69e9960af1d62bfe66ce47006100f5e042227a6a06e333b3bca1ee33c500c5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03218",
    "kind": "arxiv",
    "version": 1
  }
}