pith. sign in
Pith Number

pith:ZDP4CZEM

pith:2013:ZDP4CZEM32UQPP72DEQLEZA4NZ
not attested not anchored not stored refs pending

Coverings by open cells

Luca Prelli, M\'ario J. Edmundo, Pantelis Eleftheriou

arxiv:1303.3155 v3 · 2013-03-13 · math.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZDP4CZEM32UQPP72DEQLEZA4NZ}

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 2026-05-18T01:36:48.518328Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c8dfc1648cdea907bffa1920b2641c6e53c759a7cb17d0d013d5178d5175ecf3

Aliases

arxiv: 1303.3155 · arxiv_version: 1303.3155v3 · doi: 10.48550/arxiv.1303.3155 · pith_short_12: ZDP4CZEM32UQ · pith_short_16: ZDP4CZEM32UQPP72 · pith_short_8: ZDP4CZEM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZDP4CZEM32UQPP72DEQLEZA4NZ \
  | 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: c8dfc1648cdea907bffa1920b2641c6e53c759a7cb17d0d013d5178d5175ecf3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0bd295b716bc982306447d084a8003af109f71c7485b416e375d539b4f29abd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-03-13T13:30:42Z",
    "title_canon_sha256": "d5dd86eed2ab4af3e748a1b9296cff3dae7f71295575d7eba8bdcf15ef877d48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3155",
    "kind": "arxiv",
    "version": 3
  }
}