Pith Number

pith:WNGGZBRE

pith:2014:WNGGZBREQCC55VYBGCBIN4CVL4

not attested not anchored not stored refs pending

On embedding certain partial orders into the P-points under RK and Tukey reducibility

Dilip Raghavan, Saharon Shelah

arxiv:1411.0084 v1 · 2014-11-01 · 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{WNGGZBREQCC55VYBGCBIN4CVL4}

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	2026-05-18T02:38:52.585890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b34c6c86248085ded701308286f0555f04ad063f3d65bae6a1c2408a41a5e222

Aliases

arxiv: 1411.0084 · arxiv_version: 1411.0084v1 · doi: 10.48550/arxiv.1411.0084 · pith_short_12: WNGGZBREQCC5 · pith_short_16: WNGGZBREQCC55VYB · pith_short_8: WNGGZBRE

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/WNGGZBREQCC55VYBGCBIN4CVL4 \
  | 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: b34c6c86248085ded701308286f0555f04ad063f3d65bae6a1c2408a41a5e222

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80c4531b9b989e629530a2e51cf7be428f1052d0e1628dc77fd8e795c0575280",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-11-01T08:25:05Z",
    "title_canon_sha256": "0e0363066ec64676f777ea2c0c4a5dea78b8826f1cae3a484feac6ef379b6888"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0084",
    "kind": "arxiv",
    "version": 1
  }
}