Pith Number

pith:2YTUOCZN

pith:2019:2YTUOCZNV2VGQSU5NM5IF7YEPP

not attested not anchored not stored refs pending

On some spectral properties of pseudo-differential operators on T

Juan Pablo Velasquez-Rodriguez

arxiv:1902.00070 v4 · 2019-01-31 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2YTUOCZNV2VGQSU5NM5IF7YEPP}

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	2026-05-17T23:49:59.308983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d627470b2daeaa684a9d6b3a82ff047bcaa1ca737a895bb828d7887bf224c38d

Aliases

arxiv: 1902.00070 · arxiv_version: 1902.00070v4 · doi: 10.48550/arxiv.1902.00070 · pith_short_12: 2YTUOCZNV2VG · pith_short_16: 2YTUOCZNV2VGQSU5 · pith_short_8: 2YTUOCZN

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/2YTUOCZNV2VGQSU5NM5IF7YEPP \
  | 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: d627470b2daeaa684a9d6b3a82ff047bcaa1ca737a895bb828d7887bf224c38d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a30b70578826b3c993c4e08114eff4b9151dde5b1a88a181869d6e49d7e8071b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-01-31T21:00:20Z",
    "title_canon_sha256": "b82530fe65378f77cc88af9e563c2a8b63029f3ae11d90d05d6441525e29efe6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.00070",
    "kind": "arxiv",
    "version": 4
  }
}