Pith Number

pith:LKEL2BBU

pith:1994:LKEL2BBU46ADSA5TL7T5JB5YS7

not attested not anchored not stored refs pending

Lower bounds for identifying subset members with subset queries

Emanuel Knill

arxiv:math/9411219 v1 · 1994-11-03 · math.CO · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LKEL2BBU46ADSA5TL7T5JB5YS7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:05:50.875686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a88bd0434e7803903b35fe7d487b897da5a4ecf0b0579440d6cafbbdb83accc

Aliases

arxiv: math/9411219 · arxiv_version: math/9411219v1 · doi: 10.48550/arxiv.math/9411219 · pith_short_12: LKEL2BBU46AD · pith_short_16: LKEL2BBU46ADSA5T · pith_short_8: LKEL2BBU

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/LKEL2BBU46ADSA5TL7T5JB5YS7 \
  | 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: 5a88bd0434e7803903b35fe7d487b897da5a4ecf0b0579440d6cafbbdb83accc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eedb34b9cc9b46ef1ec58123cebff765040ff1bda89dd1cf4e3d545bfe83fbe6",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "1994-11-03T00:00:00Z",
    "title_canon_sha256": "c6df0aabaca152e2c84b3e85c5b0d2c39b0513ec9ef529e30d50f3e7eb03efd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9411219",
    "kind": "arxiv",
    "version": 1
  }
}