Pith Number

pith:PWMKU75T

pith:2011:PWMKU75TBX6XACDZRYNAPRBGYF

not attested not anchored not stored refs pending

A Set and Collection Lemma

Eugen Mandrescu, Vadim E. Levit

arxiv:1101.4564 v5 · 2011-01-24 · cs.DM · 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{PWMKU75TBX6XACDZRYNAPRBGYF}

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	2026-05-18T04:14:46.007990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d98aa7fb30dfd7008798e1a07c426c1608af4e146aec23de5f5a043a27769bd

Aliases

arxiv: 1101.4564 · arxiv_version: 1101.4564v5 · doi: 10.48550/arxiv.1101.4564 · pith_short_12: PWMKU75TBX6X · pith_short_16: PWMKU75TBX6XACDZ · pith_short_8: PWMKU75T

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/PWMKU75TBX6XACDZRYNAPRBGYF \
  | 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: 7d98aa7fb30dfd7008798e1a07c426c1608af4e146aec23de5f5a043a27769bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47e89c8f8965c791a00a8a362335c9f048cb3550bb9881e5e47acf08a872d766",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-01-24T15:20:24Z",
    "title_canon_sha256": "a720e5067f643c3e6c6a9a1fb800edf8627a0bf6558e3895b11df687a476d4f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4564",
    "kind": "arxiv",
    "version": 5
  }
}