Pith Number

pith:4VMZOT6R

pith:2022:4VMZOT6RFC6C6SMFHO655STG55

not attested not anchored not stored refs pending

Notes on Lax Ends

Kengo Hirata

arxiv:2210.01522 v1 · 2022-10-04 · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VMZOT6RFC6C6SMFHO655STG55}

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	2026-07-05T05:03:11.507559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e559974fd128bc2f49853bbddeca66ef4a8d8981f17481d4b11aad58f3347a25

Aliases

arxiv: 2210.01522 · arxiv_version: 2210.01522v1 · doi: 10.48550/arxiv.2210.01522 · pith_short_12: 4VMZOT6RFC6C · pith_short_16: 4VMZOT6RFC6C6SMF · pith_short_8: 4VMZOT6R

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/4VMZOT6RFC6C6SMFHO655STG55 \
  | 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: e559974fd128bc2f49853bbddeca66ef4a8d8981f17481d4b11aad58f3347a25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94e126211f9b930b930d8ba64a1ed217fd261ae2e3de62e72faa9c7da0de8b74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2022-10-04T11:01:29Z",
    "title_canon_sha256": "43b81cc1bffa4c8a4563cbe19876f1f606300206a653394145d58c72c310877c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.01522",
    "kind": "arxiv",
    "version": 1
  }
}