Pith Number

pith:CHIXIR3Y

pith:2015:CHIXIR3YRXMINSNH34OMZBPK7R

not attested not anchored not stored refs pending

Triangle-free subgraphs of random graphs

Barnaby Roberts, Julia B\"ottcher, Peter Allen, Yoshiharu Kohayakawa

arxiv:1507.05226 v1 · 2015-07-18 · 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{CHIXIR3YRXMINSNH34OMZBPK7R}

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	2026-05-18T01:36:37.492894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11d17447788dd886c9a7df1ccc85eafc4d3b28652d9441a9d93df75743bf857e

Aliases

arxiv: 1507.05226 · arxiv_version: 1507.05226v1 · doi: 10.48550/arxiv.1507.05226 · pith_short_12: CHIXIR3YRXMI · pith_short_16: CHIXIR3YRXMINSNH · pith_short_8: CHIXIR3Y

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/CHIXIR3YRXMINSNH34OMZBPK7R \
  | 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: 11d17447788dd886c9a7df1ccc85eafc4d3b28652d9441a9d93df75743bf857e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86f0b1c4ce597f14f6d999367e206895640baa2c2995152730d956faf268a309",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-18T22:20:13Z",
    "title_canon_sha256": "7ebbf18d2b47e8ce3ea8b4707c6250f8ee1617d0e3862a6d1b51712d5eb716cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05226",
    "kind": "arxiv",
    "version": 1
  }
}