Pith Number

pith:JJXTBTCN

pith:2017:JJXTBTCNF3Y33E7NHPSWH4UI64

not attested not anchored not stored refs pending

Fully Mechanized Proofs of Dilworths Theorem and Mirskys Theorem

Abhishek Kr Singh

arxiv:1703.06133 v1 · 2017-03-17 · cs.LO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJXTBTCNF3Y33E7NHPSWH4UI64}

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	2026-05-18T00:48:29.398919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a6f30cc4d2ef1bd93ed3be563f288f73a050ae0d9e36976121386170fc4dde5

Aliases

arxiv: 1703.06133 · arxiv_version: 1703.06133v1 · doi: 10.48550/arxiv.1703.06133 · pith_short_12: JJXTBTCNF3Y3 · pith_short_16: JJXTBTCNF3Y33E7N · pith_short_8: JJXTBTCN

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/JJXTBTCNF3Y33E7NHPSWH4UI64 \
  | 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: 4a6f30cc4d2ef1bd93ed3be563f288f73a050ae0d9e36976121386170fc4dde5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60060c39091d196d108c5837a0e58f813f43cd146a57277032e54f485f2c8e90",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2017-03-17T17:55:35Z",
    "title_canon_sha256": "f5993b48ab234bfe139a138356f26086a27ae4e03ff88ca103a6b3c1cd0870d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06133",
    "kind": "arxiv",
    "version": 1
  }
}