Pith Number

pith:SDIRIKND

pith:2014:SDIRIKNDCKPJ55PEM4OBPC6C26

not attested not anchored not stored refs pending

Damping oscillatory integrals by the Hessian determinant via Schr\"odinger

Philip T. Gressman

arxiv:1411.4680 v1 · 2014-11-17 · math.CA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SDIRIKNDCKPJ55PEM4OBPC6C26}

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	2026-05-18T02:34:51.396527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90d11429a3129e9ef5e4671c178bc2d7b4a884ad38a6daa5f194fc7da2c48032

Aliases

arxiv: 1411.4680 · arxiv_version: 1411.4680v1 · doi: 10.48550/arxiv.1411.4680 · pith_short_12: SDIRIKNDCKPJ · pith_short_16: SDIRIKNDCKPJ55PE · pith_short_8: SDIRIKND

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/SDIRIKNDCKPJ55PEM4OBPC6C26 \
  | 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: 90d11429a3129e9ef5e4671c178bc2d7b4a884ad38a6daa5f194fc7da2c48032

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8089b99eac27f510317bfe89fcfd07c60cc3ce3356cf96cc2fefa9b9c67a88b2",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-11-17T21:45:16Z",
    "title_canon_sha256": "d2bd5ad3553d006ead50095e28e0f0e090ddbb2744c07518801e272837c8c213"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4680",
    "kind": "arxiv",
    "version": 1
  }
}