Pith Number

pith:QCT3GEK6

pith:2014:QCT3GEK67BGUNZDF5SQZWTQQW6

not attested not anchored not stored refs pending

On the Categorification of the M\"obius Function

Rafael Diaz

arxiv:1402.2131 v1 · 2014-02-10 · math.CO · math.AT · 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{QCT3GEK67BGUNZDF5SQZWTQQW6}

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	2026-05-18T02:59:32.242176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80a7b3115ef84d46e465eca19b4e10b791f6267d2a5d3b060478d1fab4309392

Aliases

arxiv: 1402.2131 · arxiv_version: 1402.2131v1 · doi: 10.48550/arxiv.1402.2131 · pith_short_12: QCT3GEK67BGU · pith_short_16: QCT3GEK67BGUNZDF · pith_short_8: QCT3GEK6

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/QCT3GEK67BGUNZDF5SQZWTQQW6 \
  | 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: 80a7b3115ef84d46e465eca19b4e10b791f6267d2a5d3b060478d1fab4309392

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a96692a3659aa19777bd196f51fd0ff28e73a1b15e32e754ee42a264005f9f87",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-10T12:53:55Z",
    "title_canon_sha256": "c50426350e7ccbf97c02264b3239affc36827a54e7e7863b7fceb0da742b5c37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2131",
    "kind": "arxiv",
    "version": 1
  }
}