Pith Number

pith:VRSYS75W

pith:2018:VRSYS75WJJUDELQTWIDD6SGLN5

not attested not anchored not stored refs pending

Mapping properties of operator-valued pseudo-differential operators

Runlian Xia, Xiao Xiong

arxiv:1804.03435 v1 · 2018-04-10 · math.OA · math.CA · 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{VRSYS75WJJUDELQTWIDD6SGLN5}

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	2026-05-18T00:18:48.282824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac65897fb64a68322e13b2063f48cb6f50cec9ab0e2443adadc7016193481fe7

Aliases

arxiv: 1804.03435 · arxiv_version: 1804.03435v1 · doi: 10.48550/arxiv.1804.03435 · pith_short_12: VRSYS75WJJUD · pith_short_16: VRSYS75WJJUDELQT · pith_short_8: VRSYS75W

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/VRSYS75WJJUDELQTWIDD6SGLN5 \
  | 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: ac65897fb64a68322e13b2063f48cb6f50cec9ab0e2443adadc7016193481fe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c5d4cd6aa0131114d67804d58f14ad88045d2b399bdbfb4dfe059af6645d3f6",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-04-10T10:25:15Z",
    "title_canon_sha256": "08ac14af00969ec8f998136c208d74bd65e68c714d4f04a8b58dd55cb55335a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03435",
    "kind": "arxiv",
    "version": 1
  }
}