Pith Number

pith:XEHCRWNM

pith:2012:XEHCRWNMMFFQICZUJ5DFGDRZOB

not attested not anchored not stored refs pending

Scalar oscillatory integrals in smooth spaces of homogeneous type

Philip T. Gressman

arxiv:1205.5774 v1 · 2012-05-25 · 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{XEHCRWNMMFFQICZUJ5DFGDRZOB}

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	2026-05-18T03:54:50.375031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b90e28d9ac614b040b344f46530e39707436448352312c0448b771b4a6b72696

Aliases

arxiv: 1205.5774 · arxiv_version: 1205.5774v1 · doi: 10.48550/arxiv.1205.5774 · pith_short_12: XEHCRWNMMFFQ · pith_short_16: XEHCRWNMMFFQICZU · pith_short_8: XEHCRWNM

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/XEHCRWNMMFFQICZUJ5DFGDRZOB \
  | 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: b90e28d9ac614b040b344f46530e39707436448352312c0448b771b4a6b72696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2600fe5235892e05ab513d70d17b1f07fcdba2a0370a2ede1db73d633f38b10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-05-25T18:48:49Z",
    "title_canon_sha256": "5e2a5beda4a64f5e20a42ef73ea41106f4ec537a03309876f60f958399f4a5f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5774",
    "kind": "arxiv",
    "version": 1
  }
}