Pith Number

pith:72A4PAGY

pith:2012:72A4PAGYT7IXNATDDGAX4QRICF

not attested not anchored not stored refs pending

On Zarankiewicz Problem and Depth-Two Superconcentrators

Chinmoy Dutta, Jaikumar Radhakrishnan

arxiv:1201.1377 v2 · 2012-01-06 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72A4PAGYT7IXNATDDGAX4QRICF}

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	2026-05-18T02:26:01.316354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe81c780d89fd176826319817e4228116064c61ff1841cb4762636d7268fb86b

Aliases

arxiv: 1201.1377 · arxiv_version: 1201.1377v2 · doi: 10.48550/arxiv.1201.1377 · pith_short_12: 72A4PAGYT7IX · pith_short_16: 72A4PAGYT7IXNATD · pith_short_8: 72A4PAGY

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/72A4PAGYT7IXNATDDGAX4QRICF \
  | 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: fe81c780d89fd176826319817e4228116064c61ff1841cb4762636d7268fb86b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aed7882a591fd54672f479be43d6bb22c7cf73e6c26d94ee5e54685db693aef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-01-06T09:15:07Z",
    "title_canon_sha256": "d4ea3238dd53f2ed92db95fc3ccf02da5f548eedccbc87268ef302d6186c3e6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1377",
    "kind": "arxiv",
    "version": 2
  }
}