Pith Number

pith:IEWF2LWS

pith:2013:IEWF2LWSQLUEL24DGD5KJRFA4X

not attested not anchored not stored refs pending

Spectral properties of the M\"{o}bius function and a random M\"{o}bius model

E. H. El Abdalaoui, M. Disertori

arxiv:1305.4361 v2 · 2013-05-19 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IEWF2LWSQLUEL24DGD5KJRFA4X}

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	2026-05-18T03:20:22.198061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

412c5d2ed282e845eb8330faa4c4a0e5f99b163e6d007885232b9e5569baf58b

Aliases

arxiv: 1305.4361 · arxiv_version: 1305.4361v2 · doi: 10.48550/arxiv.1305.4361 · pith_short_12: IEWF2LWSQLUE · pith_short_16: IEWF2LWSQLUEL24D · pith_short_8: IEWF2LWS

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/IEWF2LWSQLUEL24DGD5KJRFA4X \
  | 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: 412c5d2ed282e845eb8330faa4c4a0e5f99b163e6d007885232b9e5569baf58b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24398044ef532f68faea1f6329740c8fdca2c7c44b277b284704489be1bc1bff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-05-19T13:13:02Z",
    "title_canon_sha256": "a8d84e771e101d526eb4a1a08fe47b65e6154ac9063fe2eaf5c4f58626719ae4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4361",
    "kind": "arxiv",
    "version": 2
  }
}