Pith Number

pith:HSDCVXLO

pith:2015:HSDCVXLOXEVFYX6UHHUE6NJUIP

not attested not anchored not stored refs pending

An upper bound for the Hales-Jewett number HJ(4,2)

Mikhail Lavrov

arxiv:1504.02753 v1 · 2015-04-10 · 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{HSDCVXLOXEVFYX6UHHUE6NJUIP}

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	2026-05-18T02:19:06.701862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c862add6eb92a5c5fd439e84f353443f82575f7b4ac38b474d5924e317b5901

Aliases

arxiv: 1504.02753 · arxiv_version: 1504.02753v1 · doi: 10.48550/arxiv.1504.02753 · pith_short_12: HSDCVXLOXEVF · pith_short_16: HSDCVXLOXEVFYX6U · pith_short_8: HSDCVXLO

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/HSDCVXLOXEVFYX6UHHUE6NJUIP \
  | 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: 3c862add6eb92a5c5fd439e84f353443f82575f7b4ac38b474d5924e317b5901

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "415496e092dc536a4ad2dd1a9ae47c44aca959720f36cc14ac3f927c672f6642",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-10T18:19:37Z",
    "title_canon_sha256": "f2e099db5e9bd6488a1b8c5eb7fa5a1448411a434b3c72791e9286aea25a7330"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02753",
    "kind": "arxiv",
    "version": 1
  }
}