Pith Number

pith:HOY4TOWA

pith:2022:HOY4TOWAJ4VWV4X4PPVAQPN4BL

not attested not anchored not stored refs pending

Free structures and limiting density

Johanna N. Y. Franklin, Julia Knight, Meng-Che "Turbo" Ho

arxiv:2209.04069 v1 · 2022-09-09 · 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{HOY4TOWAJ4VWV4X4PPVAQPN4BL}

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	2026-07-05T04:55:55.513677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bb1c9bac04f2b6af2fc7bea083dbc0ac212dbd463777aaa1177e0d293b6dd23

Aliases

arxiv: 2209.04069 · arxiv_version: 2209.04069v1 · doi: 10.48550/arxiv.2209.04069 · pith_short_12: HOY4TOWAJ4VW · pith_short_16: HOY4TOWAJ4VWV4X4 · pith_short_8: HOY4TOWA

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/HOY4TOWAJ4VWV4X4PPVAQPN4BL \
  | 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: 3bb1c9bac04f2b6af2fc7bea083dbc0ac212dbd463777aaa1177e0d293b6dd23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ac8206f304002dc0f7fcaff271b784d0890c050be98c4b9c37a0fb0df0290b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2022-09-09T00:46:27Z",
    "title_canon_sha256": "271a78438c5b46fabebd0ddfcf2c0249e0f48172f7de65cbb6342800c1df68f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.04069",
    "kind": "arxiv",
    "version": 1
  }
}