Pith Number

pith:XCYBJB72

pith:2017:XCYBJB72JMCOA227I3X4DPGF3N

not attested not anchored not stored refs pending

Metrically Ramsey ultrafilters

Igor Protasov, Ksenia Protasova

arxiv:1704.07824 v1 · 2017-04-25 · math.GN · 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{XCYBJB72JMCOA227I3X4DPGF3N}

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	2026-05-18T00:45:31.740677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8b01487fa4b04e06b5f46efc1bcc5db60e55480d4287c26f6e81161b6e1416c

Aliases

arxiv: 1704.07824 · arxiv_version: 1704.07824v1 · doi: 10.48550/arxiv.1704.07824 · pith_short_12: XCYBJB72JMCO · pith_short_16: XCYBJB72JMCOA227 · pith_short_8: XCYBJB72

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/XCYBJB72JMCOA227I3X4DPGF3N \
  | 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: b8b01487fa4b04e06b5f46efc1bcc5db60e55480d4287c26f6e81161b6e1416c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afb9497166edcb22e80f5babb285c0a48bc3bd0aee2d4cc57529deb274cbd21a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2017-04-25T09:43:48Z",
    "title_canon_sha256": "9dc6a0b2c1a822fec6bda6f797c7440e3450862fd5922689e519279bdddce908"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07824",
    "kind": "arxiv",
    "version": 1
  }
}