Pith Number

pith:KMTP5JFP

pith:2021:KMTP5JFPKOR5EUP43TMV7HIKXB

not attested not anchored not stored refs pending

Fake Mu's

Greg Martin, Michael J. Mossinghoff, Timothy S. Trudgian

arxiv:2112.05227 v1 · 2021-12-09 · 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{KMTP5JFPKOR5EUP43TMV7HIKXB}

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	2026-07-05T03:39:38.179374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5326fea4af53a3d251fcdcd95f9d0ab84b3e6d0288fc6438cbdc63a091d8c099

Aliases

arxiv: 2112.05227 · arxiv_version: 2112.05227v1 · doi: 10.48550/arxiv.2112.05227 · pith_short_12: KMTP5JFPKOR5 · pith_short_16: KMTP5JFPKOR5EUP4 · pith_short_8: KMTP5JFP

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/KMTP5JFPKOR5EUP43TMV7HIKXB \
  | 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: 5326fea4af53a3d251fcdcd95f9d0ab84b3e6d0288fc6438cbdc63a091d8c099

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da604d6995358e66c71a32b1ea8c5ca6e210ab297a83f5d5ba0e0e34fde1e5b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-12-09T21:54:34Z",
    "title_canon_sha256": "1fae6650b552faf17183c5cda1ed42b82f3996e2157663486d827836b59ffc94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.05227",
    "kind": "arxiv",
    "version": 1
  }
}