Pith Number

pith:KUN5K7DR

pith:2017:KUN5K7DROLZTGOTVA7V3JVU2VU

not attested not anchored not stored refs pending

Proof of Kelly-Ulam Conjecture

Adel Tadayyonfar, Ali Reza Ashrafi

arxiv:1712.10322 v1 · 2017-12-24 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KUN5K7DROLZTGOTVA7V3JVU2VU}

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	2026-05-18T00:27:03.442746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

551bd57c7172f3333a7507ebb4d69aad0270e0279faff63be99ef2df2ac9eead

Aliases

arxiv: 1712.10322 · arxiv_version: 1712.10322v1 · doi: 10.48550/arxiv.1712.10322 · pith_short_12: KUN5K7DROLZT · pith_short_16: KUN5K7DROLZTGOTV · pith_short_8: KUN5K7DR

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/KUN5K7DROLZTGOTVA7V3JVU2VU \
  | 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: 551bd57c7172f3333a7507ebb4d69aad0270e0279faff63be99ef2df2ac9eead

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "444ca98b7ec6684e881a87e4675163fb24a9fc416f89b8ce73f22ab753068b0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2017-12-24T09:53:17Z",
    "title_canon_sha256": "1e360b5a102f1e4f0247f260e03aba0e285776abd2eb3f4770a779f18c007af8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.10322",
    "kind": "arxiv",
    "version": 1
  }
}