Pith Number

pith:6OGYMJDE

pith:2019:6OGYMJDEAGQ2WCKQ2HZZ3475CJ

not attested not anchored not stored refs pending

Bipartite Tur\'an problems for ordered graphs

Abhishek Methuku, Istv\'an Tomon

arxiv:1908.03189 v1 · 2019-08-08 · 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{6OGYMJDEAGQ2WCKQ2HZZ3475CJ}

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	2026-07-04T23:52:27.097666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f38d86246401a1ab0950d1f39df3fd125dae5208b0ca87d1e8235a5d3b7b4f6e

Aliases

arxiv: 1908.03189 · arxiv_version: 1908.03189v1 · doi: 10.48550/arxiv.1908.03189 · pith_short_12: 6OGYMJDEAGQ2 · pith_short_16: 6OGYMJDEAGQ2WCKQ · pith_short_8: 6OGYMJDE

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/6OGYMJDEAGQ2WCKQ2HZZ3475CJ \
  | 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: f38d86246401a1ab0950d1f39df3fd125dae5208b0ca87d1e8235a5d3b7b4f6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c63e2835d9fc3246e27cc3a123eaa06716dd81f16b21008ea2187b100d6f4ad7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-08T17:47:58Z",
    "title_canon_sha256": "909564706b2085a7a82ad1f759c50429a22e188530bfa8aed38e7399cb043510"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03189",
    "kind": "arxiv",
    "version": 1
  }
}