pith. sign in
Pith Number

pith:Y5PRODMJ

pith:2015:Y5PRODMJB2O6YAWMQ4JXSK4OOH
not attested not anchored not stored refs pending

$(s,p)$-Valent Functions

Omer Friedland, Yosef Yomdin

arxiv:1503.00325 v1 · 2015-03-01 · math.CA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Y5PRODMJB2O6YAWMQ4JXSK4OOH}

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 2026-05-18T02:25:54.658766Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c75f170d890e9dec02cc8713792b8e71ee8947ef4bc7ef50ea65374dd655b27e

Aliases

arxiv: 1503.00325 · arxiv_version: 1503.00325v1 · doi: 10.48550/arxiv.1503.00325 · pith_short_12: Y5PRODMJB2O6 · pith_short_16: Y5PRODMJB2O6YAWM · pith_short_8: Y5PRODMJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Y5PRODMJB2O6YAWMQ4JXSK4OOH \
  | 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: c75f170d890e9dec02cc8713792b8e71ee8947ef4bc7ef50ea65374dd655b27e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5ff3c7ebc8358c5fa9fe4e4aacb04e9ee17b4cc793c02d09198e9f4be853b941",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-03-01T18:32:54Z",
    "title_canon_sha256": "e91f586de2930b2fc1f1bdac9bb505fd33c8396508ef02585fa3a0d2ee641825"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00325",
    "kind": "arxiv",
    "version": 1
  }
}