Pith Number

pith:ONBUESLG

pith:2011:ONBUESLGWSL5TSZ73JK7L76FW3

not attested not anchored not stored refs pending

A version of Szemer\'edi's regularity lemma for multicolored graphs and directed graphs that is suitable for induced graphs

Maria Axenovich, Ryan R. Martin

arxiv:1106.2871 v2 · 2011-06-15 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ONBUESLGWSL5TSZ73JK7L76FW3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:14:18.642638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7343424966b497d9cb3fda55f5ffc5b6c1266b943131eb0dd869879c1cbad5e5

Aliases

arxiv: 1106.2871 · arxiv_version: 1106.2871v2 · doi: 10.48550/arxiv.1106.2871 · pith_short_12: ONBUESLGWSL5 · pith_short_16: ONBUESLGWSL5TSZ7 · pith_short_8: ONBUESLG

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/ONBUESLGWSL5TSZ73JK7L76FW3 \
  | 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: 7343424966b497d9cb3fda55f5ffc5b6c1266b943131eb0dd869879c1cbad5e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf661ff7060cd3cd351221f072bed746527f950c8eae336b239e6b94c5f87369",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-15T04:48:14Z",
    "title_canon_sha256": "e137c6313466af898339b361046336037ff3b24e9fafe25fdab7ff4fb7577363"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2871",
    "kind": "arxiv",
    "version": 2
  }
}