Pith Number

pith:FUKELN6D

pith:2016:FUKELN6DRAQS646ZY3IFVV4MTG

not attested not anchored not stored refs pending

Gowers' Ramsey theorem for generalized tetris operations

Martino Lupini

arxiv:1603.09365 v1 · 2016-03-30 · 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{FUKELN6DRAQS646ZY3IFVV4MTG}

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	2026-05-18T00:38:31.357061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d1445b7c388212f73d9c6d05ad78c99aa5fccfbb384f81c0f6c40d070502711

Aliases

arxiv: 1603.09365 · arxiv_version: 1603.09365v1 · doi: 10.48550/arxiv.1603.09365 · pith_short_12: FUKELN6DRAQS · pith_short_16: FUKELN6DRAQS646Z · pith_short_8: FUKELN6D

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/FUKELN6DRAQS646ZY3IFVV4MTG \
  | 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: 2d1445b7c388212f73d9c6d05ad78c99aa5fccfbb384f81c0f6c40d070502711

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd52d4480f94b6328149e6db65f39cd13ebf8fd2ae0416a98ce1922a6f67e5db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-30T20:21:54Z",
    "title_canon_sha256": "6efc803ffdb2f6422a0c919a6d28c6ce2fa1bb99be38359bad47648909ca13eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09365",
    "kind": "arxiv",
    "version": 1
  }
}