Pith Number

pith:OLQXTXES

pith:2012:OLQXTXESEJWPYVBNF5M4N3U6YM

not attested not anchored not stored refs pending

Asymptotic analysis of oscillatory integrals via the Newton polyhedra of the phase and the amplitude

Joe Kamimoto, Koji Cho, Toshihiro Nose

arxiv:1203.0808 v1 · 2012-03-05 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OLQXTXESEJWPYVBNF5M4N3U6YM}

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	2026-05-18T03:21:33.771023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72e179dc92226cfc542d2f59c6ee9ec33e54eafeacfc5a912856c9cad838b63a

Aliases

arxiv: 1203.0808 · arxiv_version: 1203.0808v1 · doi: 10.48550/arxiv.1203.0808 · pith_short_12: OLQXTXESEJWP · pith_short_16: OLQXTXESEJWPYVBN · pith_short_8: OLQXTXES

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/OLQXTXESEJWPYVBNF5M4N3U6YM \
  | 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: 72e179dc92226cfc542d2f59c6ee9ec33e54eafeacfc5a912856c9cad838b63a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8006ffd3f22e409e6b07e19e99b6dcfcc61787fda1ec2d27244bb0597f774e03",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-03-05T03:22:41Z",
    "title_canon_sha256": "81614e78125bc58ba5a41cce83bd0aa17964fe3c972c4d49d1353df83fd40f4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0808",
    "kind": "arxiv",
    "version": 1
  }
}