Pith Number

pith:QV7TBEXY

pith:2015:QV7TBEXYNP5KYX3F65BC3L7JF4

not attested not anchored not stored refs pending

Elementary proofs of Kempe universality

S. C. Power

arxiv:1511.09002 v2 · 2015-11-29 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QV7TBEXYNP5KYX3F65BC3L7JF4}

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	2026-05-18T00:45:35.131221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

857f3092f86bfaac5f65f7422dafe92f2113a096c066f38dcad8e1d43fcd3aac

Aliases

arxiv: 1511.09002 · arxiv_version: 1511.09002v2 · doi: 10.48550/arxiv.1511.09002 · pith_short_12: QV7TBEXYNP5K · pith_short_16: QV7TBEXYNP5KYX3F · pith_short_8: QV7TBEXY

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/QV7TBEXYNP5KYX3F65BC3L7JF4 \
  | 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: 857f3092f86bfaac5f65f7422dafe92f2113a096c066f38dcad8e1d43fcd3aac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec5f48fa778cd66153efe93a3be708dd91a7ec63d6db97c769d6fde52343842c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-11-29T12:27:31Z",
    "title_canon_sha256": "6c49fbaa54bab61f7947b0e548cbfd240e34709060ab2fb7a510764dcdd4910a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09002",
    "kind": "arxiv",
    "version": 2
  }
}