Pith Number

pith:V3YQLAVJ

pith:2010:V3YQLAVJWCL6WPOIUOKFLVH6XT

not attested not anchored not stored refs pending

Banach spaces and Ramsey Theory: some open problems

Jordi Lopez-Abad, Pandelis Dodos, Stevo Todorcevic

arxiv:1006.2668 v1 · 2010-06-14 · math.FA · 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{V3YQLAVJWCL6WPOIUOKFLVH6XT}

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	2026-05-18T04:22:31.935442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aef10582a9b097eb3dc8a39455d4febcc0e0bbf230e7056c0e798709a5afc499

Aliases

arxiv: 1006.2668 · arxiv_version: 1006.2668v1 · doi: 10.48550/arxiv.1006.2668 · pith_short_12: V3YQLAVJWCL6 · pith_short_16: V3YQLAVJWCL6WPOI · pith_short_8: V3YQLAVJ

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/V3YQLAVJWCL6WPOIUOKFLVH6XT \
  | 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: aef10582a9b097eb3dc8a39455d4febcc0e0bbf230e7056c0e798709a5afc499

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff610a5b1085667672306acf36902bd1859e7d02948ab0276b71cc8171ef5be0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-06-14T11:04:04Z",
    "title_canon_sha256": "aeb8a42871246e0050133f7c09008742e0e5891b29aae1a7cf1769e57c012ac6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2668",
    "kind": "arxiv",
    "version": 1
  }
}