Pith Number

pith:CIAQYXMX

pith:2015:CIAQYXMXTNNHOLYMX4CL6UHIM7

not attested not anchored not stored refs pending

Lp bilinear quasimode estimates

Melissa Tacy, Xiaolong Han, Zihua Guo

arxiv:1503.00413 v3 · 2015-03-02 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIAQYXMXTNNHOLYMX4CL6UHIM7}

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	2026-05-18T00:07:55.913088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12010c5d979b5a772f0cbf04bf50e867d8590c0d6f0a0ea8df76395888011457

Aliases

arxiv: 1503.00413 · arxiv_version: 1503.00413v3 · doi: 10.48550/arxiv.1503.00413 · pith_short_12: CIAQYXMXTNNH · pith_short_16: CIAQYXMXTNNHOLYM · pith_short_8: CIAQYXMX

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/CIAQYXMXTNNHOLYMX4CL6UHIM7 \
  | 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: 12010c5d979b5a772f0cbf04bf50e867d8590c0d6f0a0ea8df76395888011457

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "508dd02bba3f566e0ea2e0b0605c09fd1f3ad5d460f52760eb3bc49fb3da76a9",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-02T04:46:58Z",
    "title_canon_sha256": "95ef471b9c141cae59fd466a5f5fdb9e4663fd316afacb34e9b4a1849af39260"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00413",
    "kind": "arxiv",
    "version": 3
  }
}