Pith Number

pith:MPHMJHBY

pith:2024:MPHMJHBYX2J2IV6GGIYW76GM6T

not attested not anchored not stored refs pending

Mills' constant is irrational

Kota Saito

arxiv:2404.19461 v2 · 2024-04-30 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MPHMJHBYX2J2IV6GGIYW76GM6T}

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	2026-07-05T11:28:10.196055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63cec49c38be93a457c632316ff8ccf4dcb11665af5c11ac92cfbfad44ddecde

Aliases

arxiv: 2404.19461 · arxiv_version: 2404.19461v2 · doi: 10.48550/arxiv.2404.19461 · pith_short_12: MPHMJHBYX2J2 · pith_short_16: MPHMJHBYX2J2IV6G · pith_short_8: MPHMJHBY

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/MPHMJHBYX2J2IV6GGIYW76GM6T \
  | 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: 63cec49c38be93a457c632316ff8ccf4dcb11665af5c11ac92cfbfad44ddecde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "887c50987e4bfecafcdf459e58fe9f26af1375ca49c1a2491db4e044cf493b71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-04-30T11:22:49Z",
    "title_canon_sha256": "1b48a8a69ad585bc95774315c201b2e88bbd3d830b40323aedff50b4c2e73232"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.19461",
    "kind": "arxiv",
    "version": 2
  }
}