Pith Number

pith:D4PSZH7T

pith:2012:D4PSZH7TRAOGRQB27VR2RLPEMG

not attested not anchored not stored refs pending

Tur\'an densities of hypercubes

Rahil Baber

arxiv:1201.3587 v2 · 2012-01-17 · 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{D4PSZH7TRAOGRQB27VR2RLPEMG}

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.

Cited by

1 paper in Pith

The Outerplanar Tur\'{a}n Number of Double Stars

Receipt and verification

First computed	2026-05-18T03:41:01.292722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f1f2c9ff3881c68c03afd63a8ade461ad80d525a00a7de6591aca1b2a5e6d0d

Aliases

arxiv: 1201.3587 · arxiv_version: 1201.3587v2 · doi: 10.48550/arxiv.1201.3587 · pith_short_12: D4PSZH7TRAOG · pith_short_16: D4PSZH7TRAOGRQB2 · pith_short_8: D4PSZH7T

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/D4PSZH7TRAOGRQB27VR2RLPEMG \
  | 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: 1f1f2c9ff3881c68c03afd63a8ade461ad80d525a00a7de6591aca1b2a5e6d0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a597b9e25de04efc4736c51f5a06a3d2c03c775eaad26c2385e3a6f84e318c8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-17T18:37:23Z",
    "title_canon_sha256": "7a13b93672dc5a6a2bbc28e5f49a4a8c549b3752fc8af96e1a37559c3322b7bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3587",
    "kind": "arxiv",
    "version": 2
  }
}