Pith Number

pith:MGWOCCLH

pith:2007:MGWOCCLHMTOCPIU6KIV234OIXJ

not attested not anchored not stored refs pending

Singular Oscillatory Integrals on R^n

I. R. Parissis, M. Papadimitrakis

arxiv:0707.2757 v3 · 2007-07-18 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MGWOCCLHMTOCPIU6KIV234OIXJ}

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	2026-05-18T03:11:22.461699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61ace1096764dc27a29e522badf1c8ba6031fdd135ceb3fb1df49e4c97096acb

Aliases

arxiv: 0707.2757 · arxiv_version: 0707.2757v3 · doi: 10.48550/arxiv.0707.2757 · pith_short_12: MGWOCCLHMTOC · pith_short_16: MGWOCCLHMTOCPIU6 · pith_short_8: MGWOCCLH

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/MGWOCCLHMTOCPIU6KIV234OIXJ \
  | 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: 61ace1096764dc27a29e522badf1c8ba6031fdd135ceb3fb1df49e4c97096acb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f88bd74e4f2d00fed3b812df32c8a628203c96f8fee3c38f24064dfd0b20286",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2007-07-18T16:11:33Z",
    "title_canon_sha256": "ba8dd16b03f24907dc31adbb3b7ed652a4ceff1cd34f07cf06d53073b38a572c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.2757",
    "kind": "arxiv",
    "version": 3
  }
}