Pith Number

pith:AJBZLAEG

pith:2013:AJBZLAEG3CLAVLIW5GQTWFAUGL

not attested not anchored not stored refs pending

Combinatorial Applications of M\"obius Inversion

Marie Jameson, Robert P. Schneider

arxiv:1302.5744 v3 · 2013-02-23 · math.NT · 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{AJBZLAEG3CLAVLIW5GQTWFAUGL}

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	2026-05-18T02:50:59.709569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0243958086d8960aad16e9a13b141432d882057bd30e1225c8098d540e13c7fe

Aliases

arxiv: 1302.5744 · arxiv_version: 1302.5744v3 · doi: 10.48550/arxiv.1302.5744 · pith_short_12: AJBZLAEG3CLA · pith_short_16: AJBZLAEG3CLAVLIW · pith_short_8: AJBZLAEG

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/AJBZLAEG3CLAVLIW5GQTWFAUGL \
  | 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: 0243958086d8960aad16e9a13b141432d882057bd30e1225c8098d540e13c7fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b733869514da971fd4c115b04972dad2b99bb90d6a980a9b68107f9bc2f65f87",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-23T00:23:51Z",
    "title_canon_sha256": "516ffdf412de988efe9c27959182e009f610de75a92a6a01e405e28228220f93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5744",
    "kind": "arxiv",
    "version": 3
  }
}