Pith Number

pith:P3GQFVKL

pith:2010:P3GQFVKL5LYJTOLD2X4W5DXOLH

not attested not anchored not stored refs pending

Monotone hulls for N cap M

Andrzej Roslanowski, Saharon Shelah

arxiv:1007.5368 v2 · 2010-07-30 · 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{P3GQFVKL5LYJTOLD2X4W5DXOLH}

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	2026-05-18T02:47:24.547330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ecd02d54beaf099b963d5f96e8eee59e92393f6cfa0d28bf20d93352d6692b1

Aliases

arxiv: 1007.5368 · arxiv_version: 1007.5368v2 · doi: 10.48550/arxiv.1007.5368 · pith_short_12: P3GQFVKL5LYJ · pith_short_16: P3GQFVKL5LYJTOLD · pith_short_8: P3GQFVKL

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/P3GQFVKL5LYJTOLD2X4W5DXOLH \
  | 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: 7ecd02d54beaf099b963d5f96e8eee59e92393f6cfa0d28bf20d93352d6692b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f508b0c55600f3dec967c8f560be87f6b513d15c15b92013a267f965526d152",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-07-30T05:11:58Z",
    "title_canon_sha256": "b461c9d3ef28530438c23bfad143ccf717da5e30eaad4d1dd4ddfcb4fa4d2284"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.5368",
    "kind": "arxiv",
    "version": 2
  }
}