Pith Number

pith:IU2FJLRY

pith:2013:IU2FJLRYGY4QVBQRWWJJL533EA

not attested not anchored not stored refs pending

The history of degenerate (bipartite) extremal graph problems

Mikl\'os Simonovits, Zolt\'an F\"uredi

arxiv:1306.5167 v2 · 2013-06-21 · 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{IU2FJLRYGY4QVBQRWWJJL533EA}

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	2026-05-18T03:19:34.490636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

453454ae3836390a8611b59295f77b203a405ffd077e52571fcd9f16bd718a1c

Aliases

arxiv: 1306.5167 · arxiv_version: 1306.5167v2 · doi: 10.48550/arxiv.1306.5167 · pith_short_12: IU2FJLRYGY4Q · pith_short_16: IU2FJLRYGY4QVBQR · pith_short_8: IU2FJLRY

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/IU2FJLRYGY4QVBQRWWJJL533EA \
  | 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: 453454ae3836390a8611b59295f77b203a405ffd077e52571fcd9f16bd718a1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4810fb847316d08643a3ce4e993e50cf8a134b395c847498536a19d01f7e08d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-21T15:16:46Z",
    "title_canon_sha256": "f96cde0508e0ec4db9ecfb2249f7e84c8a55a4728a004d8697ae636ad228e6a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5167",
    "kind": "arxiv",
    "version": 2
  }
}