Pith Number

pith:ZXJLBHWS

pith:2013:ZXJLBHWSJXUFRDZ53KSEGZIRCO

not attested not anchored not stored refs pending

Foundation of Symbol Theory for Analytic Pseudodifferential Operators. I

Naofumi Honda, Susumu Yamazaki, Takashi Aoki

arxiv:1308.4325 v2 · 2013-08-20 · 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{ZXJLBHWSJXUFRDZ53KSEGZIRCO}

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	2026-05-18T03:15:31.917271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdd2b09ed24de8588f3ddaa443651113b337708639ace8343afa361cf8b68920

Aliases

arxiv: 1308.4325 · arxiv_version: 1308.4325v2 · doi: 10.48550/arxiv.1308.4325 · pith_short_12: ZXJLBHWSJXUF · pith_short_16: ZXJLBHWSJXUFRDZ5 · pith_short_8: ZXJLBHWS

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/ZXJLBHWSJXUFRDZ53KSEGZIRCO \
  | 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: cdd2b09ed24de8588f3ddaa443651113b337708639ace8343afa361cf8b68920

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "870179f3395fa652f3a1238e6cca9adfb13d474fd8cc297621e71fc81aed51a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-20T14:59:07Z",
    "title_canon_sha256": "5ddc2a7d373faa24c45486615608ad2bacdbebb22e351606d8e7e90d6132aa0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4325",
    "kind": "arxiv",
    "version": 2
  }
}