Pith Number

pith:YSUDCEB3

pith:2021:YSUDCEB3MQRSQ2GI6XROMNWVSX

not attested not anchored not stored refs pending

Ramsey goodness of books revisited

Jacob Fox, Xiaoyu He, Yuval Wigderson

arxiv:2109.09205 v2 · 2021-09-19 · 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{YSUDCEB3MQRSQ2GI6XROMNWVSX}

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	2026-07-05T06:30:41.333350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4a831103b64232868c8f5e2e636d595faa6c8e6459c5a543e6334c453adb011

Aliases

arxiv: 2109.09205 · arxiv_version: 2109.09205v2 · doi: 10.48550/arxiv.2109.09205 · pith_short_12: YSUDCEB3MQRS · pith_short_16: YSUDCEB3MQRSQ2GI · pith_short_8: YSUDCEB3

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/YSUDCEB3MQRSQ2GI6XROMNWVSX \
  | 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: c4a831103b64232868c8f5e2e636d595faa6c8e6459c5a543e6334c453adb011

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "710c1286fa6c77e05c82eae156a9001d0b904d10b859c69820c682acf5360119",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-09-19T19:58:11Z",
    "title_canon_sha256": "06578912ba39a07bbd7dc71991966bed16fff4e761c4dd4a68efa27830e40079"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.09205",
    "kind": "arxiv",
    "version": 2
  }
}