pith. sign in
Pith Number

pith:Y5626KYR

pith:2019:Y5626KYRJ5ZSFSZPENU4IK7CYS
not attested not anchored not stored refs pending

Some Implications of the WP-Bailey Tree

James Mc Laughlin, Peter Zimmer

arxiv:1901.04840 v1 · 2019-01-04 · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Y5626KYRJ5ZSFSZPENU4IK7CYS}

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 2026-05-17T23:56:21.562226Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c77daf2b114f7322cb2f2369c42be2c4a69a49d51f546ec4818bb9ed17c6ad09

Aliases

arxiv: 1901.04840 · arxiv_version: 1901.04840v1 · doi: 10.48550/arxiv.1901.04840 · pith_short_12: Y5626KYRJ5ZS · pith_short_16: Y5626KYRJ5ZSFSZP · pith_short_8: Y5626KYR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Y5626KYRJ5ZSFSZPENU4IK7CYS \
  | 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: c77daf2b114f7322cb2f2369c42be2c4a69a49d51f546ec4818bb9ed17c6ad09
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "033f1453f2e412d0dffb47d7ef92c7e4239e748be323ab6502dc43ccb6d83650",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-01-04T00:47:08Z",
    "title_canon_sha256": "aa4da143af80da93a81c93c6e4c5238436178a7166a779619c4c445221053865"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04840",
    "kind": "arxiv",
    "version": 1
  }
}