Pith Number

pith:ZHEOP7BY

pith:2018:ZHEOP7BYM63QZOQ26IZSL6H4BE

not attested not anchored not stored refs pending

Stability and Erd\H{o}s--Stone type results for $F$-free graphs with a fixed number of edges

Andrew Uzzell, Jamie Radcliffe

arxiv:1810.04746 v1 · 2018-10-10 · 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{ZHEOP7BYM63QZOQ26IZSL6H4BE}

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	2026-05-18T00:03:36.019114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9c8e7fc3867b70cba1af23325f8fc0909e5514945a5118eeefe270853ea0872

Aliases

arxiv: 1810.04746 · arxiv_version: 1810.04746v1 · doi: 10.48550/arxiv.1810.04746 · pith_short_12: ZHEOP7BYM63Q · pith_short_16: ZHEOP7BYM63QZOQ2 · pith_short_8: ZHEOP7BY

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/ZHEOP7BYM63QZOQ26IZSL6H4BE \
  | 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: c9c8e7fc3867b70cba1af23325f8fc0909e5514945a5118eeefe270853ea0872

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bee76c05e2a91f1e787e5b39a1aa1587a41439f573179390c44f079478677bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-10T20:47:16Z",
    "title_canon_sha256": "5cc10952bc2faa8df518f8f7f0567477eafe7abf7f223789ddb4c90a2c1ec8aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.04746",
    "kind": "arxiv",
    "version": 1
  }
}