Pith Number

pith:M7BI2QNB

pith:2016:M7BI2QNBJ2LOFICRCL3FUFMYGW

not attested not anchored not stored refs pending

Actions of trees on semigroups, and an infinitary Gowers--Hales--Jewett Ramsey theorem

Martino Lupini

arxiv:1611.06312 v1 · 2016-11-19 · math.CO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M7BI2QNBJ2LOFICRCL3FUFMYGW}

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	2026-05-18T00:57:39.056436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67c28d41a14e96e2a05112f65a15983598be9b2f75fc7b851f3c8e823c58a886

Aliases

arxiv: 1611.06312 · arxiv_version: 1611.06312v1 · doi: 10.48550/arxiv.1611.06312 · pith_short_12: M7BI2QNBJ2LO · pith_short_16: M7BI2QNBJ2LOFICR · pith_short_8: M7BI2QNB

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/M7BI2QNBJ2LOFICRCL3FUFMYGW \
  | 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: 67c28d41a14e96e2a05112f65a15983598be9b2f75fc7b851f3c8e823c58a886

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aca7d762ff3785c5e43aa6bcfe3666f0dbeea718a25ca86fec2e1c33994837fb",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-19T05:53:04Z",
    "title_canon_sha256": "90b24da4b42721b7925a4c9c421fcc3b7f5a5100df6e8c4b7152f0499ed5ab0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06312",
    "kind": "arxiv",
    "version": 1
  }
}