Pith Number

pith:H6OKM3E4

pith:2026:H6OKM3E4DIXFDWTKGFYT6UH2SR

not attested not anchored not stored refs pending

Some applications of the real strict order property hierarchy

Scott Mutchnik

arxiv:2606.28740 v1 · 2026-06-27 · 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{H6OKM3E4DIXFDWTKGFYT6UH2SR}

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	2026-06-30T01:16:49.918672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f9ca66c9c1a2e51da6a31713f50fa946c57b6c6091e3a0c9ffc6922cb053bb0

Aliases

arxiv: 2606.28740 · arxiv_version: 2606.28740v1 · doi: 10.48550/arxiv.2606.28740 · pith_short_12: H6OKM3E4DIXF · pith_short_16: H6OKM3E4DIXFDWTK · pith_short_8: H6OKM3E4

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/H6OKM3E4DIXFDWTKGFYT6UH2SR \
  | 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: 3f9ca66c9c1a2e51da6a31713f50fa946c57b6c6091e3a0c9ffc6922cb053bb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d03d2e9b28b647d42c7372f26e97c3997dc71d4219e4d7f6e3a22b426ad02fb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-06-27T05:31:35Z",
    "title_canon_sha256": "0e59fc2d2617e2860ad251b720d5ad40be9c6fe17f9c806cd00384e0a1bcfa37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28740",
    "kind": "arxiv",
    "version": 1
  }
}