Pith Number

pith:FOU2GH2L

pith:2018:FOU2GH2LENDLBOBORVJRVLLVWE

not attested not anchored not stored refs pending

Monotone subsequence via ultrapower

Mikhail G. Katz, Piotr Blaszczyk, Tahl Nowik, Vladimir Kanovei

arxiv:1803.00312 v1 · 2018-03-01 · math.CA · 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{FOU2GH2LENDLBOBORVJRVLLVWE}

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	2026-05-18T00:16:15.933693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ba9a31f4b2346b0b82e8d531aad75b1254674d62dd9602e1820e87723c4dfa0

Aliases

arxiv: 1803.00312 · arxiv_version: 1803.00312v1 · doi: 10.48550/arxiv.1803.00312 · pith_short_12: FOU2GH2LENDL · pith_short_16: FOU2GH2LENDLBOBO · pith_short_8: FOU2GH2L

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/FOU2GH2LENDLBOBORVJRVLLVWE \
  | 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: 2ba9a31f4b2346b0b82e8d531aad75b1254674d62dd9602e1820e87723c4dfa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc9e08a3bb4470e66ff9efe473e263188a10a1b6546cb939577f78ef31fe9a60",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-03-01T11:32:33Z",
    "title_canon_sha256": "6a58f723a0e696431d7d7495e66a820e1e177919c642620bc2f9c15d29f0fdf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.00312",
    "kind": "arxiv",
    "version": 1
  }
}