Pith Number

pith:MXU6SZTW

pith:2022:MXU6SZTWHOVKG4UXMR2ILT5KMK

not attested not anchored not stored refs pending

Strict stability of extension types

Jonathan Weinberger

arxiv:2203.07194 v5 · 2022-03-14 · math.CT · cs.LO · 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{MXU6SZTWHOVKG4UXMR2ILT5KMK}

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	2026-06-09T01:05:02.222432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65e9e966763baaa37297647485cfaa628409c918fbcb3f0d76ee8ff9a69cfd88

Aliases

arxiv: 2203.07194 · arxiv_version: 2203.07194v5 · doi: 10.48550/arxiv.2203.07194 · pith_short_12: MXU6SZTWHOVK · pith_short_16: MXU6SZTWHOVKG4UX · pith_short_8: MXU6SZTW

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/MXU6SZTWHOVKG4UXMR2ILT5KMK \
  | 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: 65e9e966763baaa37297647485cfaa628409c918fbcb3f0d76ee8ff9a69cfd88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "475a446f7f4ce8903a6b07acb0d07ad9cb5ef319208957ab94c2408a529652af",
    "cross_cats_sorted": [
      "cs.LO",
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2022-03-14T15:34:19Z",
    "title_canon_sha256": "b32b369016805782f244009822d8c979567bcc2b8743e3f6a1038d8f0367e3ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.07194",
    "kind": "arxiv",
    "version": 5
  }
}