Pith Number

pith:OOV7HCUZ

pith:2017:OOV7HCUZB7H26NSRQN4ZLBJW2J

not attested not anchored not stored refs pending

A Proof of Atanassov's Conjecture and Other Generalizations of Sperner's Lemma

Yitzchak Shmalo

arxiv:1708.07175 v3 · 2017-08-23 · 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{OOV7HCUZB7H26NSRQN4ZLBJW2J}

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	2026-05-18T00:15:30.617439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73abf38a990fcfaf36518379958536d2467572767dd8a6ecdc02ec57046ff472

Aliases

arxiv: 1708.07175 · arxiv_version: 1708.07175v3 · doi: 10.48550/arxiv.1708.07175 · pith_short_12: OOV7HCUZB7H2 · pith_short_16: OOV7HCUZB7H26NSR · pith_short_8: OOV7HCUZ

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/OOV7HCUZB7H26NSRQN4ZLBJW2J \
  | 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: 73abf38a990fcfaf36518379958536d2467572767dd8a6ecdc02ec57046ff472

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b8733c82496ac6c5373974b07e233a15933bc904552196375173534bb0f985a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-23T20:16:04Z",
    "title_canon_sha256": "22386969f9bdd1151eeeaa63be9491cfbd5edfc4b432f56fd226e3e7c5f685b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07175",
    "kind": "arxiv",
    "version": 3
  }
}