pith. sign in
Pith Number

pith:A5UMSJRD

pith:2013:A5UMSJRDR7WCP7PKHKRAZR4HGV
not attested not anchored not stored refs pending

De Beaux Groupes

Amador Martin-Pizarro (ICJ), Thomas Blossier (ICJ)

arxiv:1306.5849 v6 · 2013-06-25 · math.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{A5UMSJRDR7WCP7PKHKRAZR4HGV}

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 2026-05-18T02:51:23.339180Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0768c926238fec27fdea3aa20cc78735660c520d0c2631a2cbd914ec3ee87b9f

Aliases

arxiv: 1306.5849 · arxiv_version: 1306.5849v6 · doi: 10.48550/arxiv.1306.5849 · pith_short_12: A5UMSJRDR7WC · pith_short_16: A5UMSJRDR7WCP7PK · pith_short_8: A5UMSJRD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/A5UMSJRDR7WCP7PKHKRAZR4HGV \
  | 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: 0768c926238fec27fdea3aa20cc78735660c520d0c2631a2cbd914ec3ee87b9f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "92bde7b234b0c474bb4054c5622be9af8aa8041cc0489afc572f3ba2e3318d5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-06-25T06:16:22Z",
    "title_canon_sha256": "6a0291a49c5d1e16d888a00a2383de13521987764fcdb12a3f9aeb9958f8ccf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5849",
    "kind": "arxiv",
    "version": 6
  }
}