Pith Number

pith:5H3HRWRQ

pith:2016:5H3HRWRQCDGYQCM5I5JWFZPKXG

not attested not anchored not stored refs pending

The Tur\'an Polytope

Annie Raymond

arxiv:1610.03873 v1 · 2016-10-12 · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5H3HRWRQCDGYQCM5I5JWFZPKXG}

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	2026-05-18T01:02:23.160137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9f678da3010cd88099d475362e5eab998c629d13df25df57230bb0a883d6d72

Aliases

arxiv: 1610.03873 · arxiv_version: 1610.03873v1 · doi: 10.48550/arxiv.1610.03873 · pith_short_12: 5H3HRWRQCDGY · pith_short_16: 5H3HRWRQCDGYQCM5 · pith_short_8: 5H3HRWRQ

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/5H3HRWRQCDGYQCM5I5JWFZPKXG \
  | 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: e9f678da3010cd88099d475362e5eab998c629d13df25df57230bb0a883d6d72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2a3dfafba46846387c04e7ce4504508860fdc0373f44c3a727f0a8122739ff4",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-12T20:55:50Z",
    "title_canon_sha256": "f6a3af25a57f78baaaba72b959b4097f48aec076e32af41b203193d828d46511"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03873",
    "kind": "arxiv",
    "version": 1
  }
}