Pith Number

pith:ISN6MNXI

pith:2019:ISN6MNXISGE46MVYUB5DTTLVHR

not attested not anchored not stored refs pending

On Ramsey numbers of hedgehogs

Jacob Fox, Ray Li

arxiv:1902.10221 v1 · 2019-02-26 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ISN6MNXISGE46MVYUB5DTTLVHR}

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	2026-07-05T00:42:14.438168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

449be636e89189cf32b8a07a39cd753c73650be464849943edc47a76061aa1de

Aliases

arxiv: 1902.10221 · arxiv_version: 1902.10221v1 · doi: 10.48550/arxiv.1902.10221 · pith_short_12: ISN6MNXISGE4 · pith_short_16: ISN6MNXISGE46MVY · pith_short_8: ISN6MNXI

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/ISN6MNXISGE46MVYUB5DTTLVHR \
  | 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: 449be636e89189cf32b8a07a39cd753c73650be464849943edc47a76061aa1de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cc9e9fd5d7436fc500bea3fde33956781f57daaa5b867c0d3edee9260453835",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-26T21:07:10Z",
    "title_canon_sha256": "0f163b40507ad895a6878a30936cee604879fb047f3143fb0475147c002e56dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.10221",
    "kind": "arxiv",
    "version": 1
  }
}