Pith Number

pith:VYIA2YYR

pith:2018:VYIA2YYRRF6YQD5NALPVJK32J6

not attested not anchored not stored refs pending

On the cofinality of the splitting number

Alan Dow, Saharon Shelah

arxiv:1801.02517 v1 · 2018-01-08 · 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{VYIA2YYRRF6YQD5NALPVJK32J6}

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	2026-05-18T00:26:31.290988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae100d6311897d880fad02df54ab7a4fbc0ff736f3ee1cb9557ee9c8bc7d4b1f

Aliases

arxiv: 1801.02517 · arxiv_version: 1801.02517v1 · doi: 10.48550/arxiv.1801.02517 · pith_short_12: VYIA2YYRRF6Y · pith_short_16: VYIA2YYRRF6YQD5N · pith_short_8: VYIA2YYR

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/VYIA2YYRRF6YQD5NALPVJK32J6 \
  | 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: ae100d6311897d880fad02df54ab7a4fbc0ff736f3ee1cb9557ee9c8bc7d4b1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bf0e0e806b356d78e30a65b6dacb8abda5ad6a64797f3867aaa1d291614daf8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-01-08T15:44:26Z",
    "title_canon_sha256": "92e6121a163105e90971ac0de76217d387e74eb9aeb50680136ed73f873b06d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02517",
    "kind": "arxiv",
    "version": 1
  }
}