Pith Number

pith:3GFIHVZA

pith:2025:3GFIHVZAL4MDIPSSOBMQDHWLHF

not attested not anchored not stored refs pending

Subtlety of oscillation indices of oscillatory integrals of real analytic functions

In-Kyun Kim, Morihiko Saito

arxiv:2511.16257 v3 · 2025-11-20 · math.CV · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3GFIHVZAL4MDIPSSOBMQDHWLHF}

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	2026-06-03T01:05:46.560297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d98a83d7205f18343e527059019ecb39759c90ef49b3355b3107e0a3a9b1393f

Aliases

arxiv: 2511.16257 · arxiv_version: 2511.16257v3 · doi: 10.48550/arxiv.2511.16257 · pith_short_12: 3GFIHVZAL4MD · pith_short_16: 3GFIHVZAL4MDIPSS · pith_short_8: 3GFIHVZA

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/3GFIHVZAL4MDIPSSOBMQDHWLHF \
  | 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: d98a83d7205f18343e527059019ecb39759c90ef49b3355b3107e0a3a9b1393f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c10ca9640d6a68f3ee14b75b49519e959f996e499b2fa9e9765585786703900a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2025-11-20T11:37:11Z",
    "title_canon_sha256": "c4d9fa01a2199d11a412bdd2c69c01a0f84bd814453cdeeed51fde790bc80cc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.16257",
    "kind": "arxiv",
    "version": 3
  }
}