Pith Number

pith:647HCJ2Z

pith:2018:647HCJ2ZDBBFH3J7WXT3FZENJN

not attested not anchored not stored refs pending

An Introduction to the Moebius Function

Chris Godsil

arxiv:1803.06664 v1 · 2018-03-18 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{647HCJ2ZDBBFH3J7WXT3FZENJN}

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	2026-05-18T00:20:45.347482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f73e712759184253ed3fb5e7b2e48d4b7f38c307b3accce03569b4f687520797

Aliases

arxiv: 1803.06664 · arxiv_version: 1803.06664v1 · doi: 10.48550/arxiv.1803.06664 · pith_short_12: 647HCJ2ZDBBF · pith_short_16: 647HCJ2ZDBBFH3J7 · pith_short_8: 647HCJ2Z

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/647HCJ2ZDBBFH3J7WXT3FZENJN \
  | 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: f73e712759184253ed3fb5e7b2e48d4b7f38c307b3accce03569b4f687520797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "815e5e0a7e5ba7331a94d703dfadd39cf39f3209bd1cbac718a7873dec11daa3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-18T13:54:25Z",
    "title_canon_sha256": "78ca6431b5cfc069807e146d55c067fb6641b2e60cad39a66a4f7fcc0cec6e04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06664",
    "kind": "arxiv",
    "version": 1
  }
}