Pith Number

pith:ZCWLKSFG

pith:2014:ZCWLKSFGEMNKTAJTP23KS36FNU

not attested not anchored not stored refs pending

Indices of pseudodifferential operators on open manifolds

Alexander Engel

arxiv:1410.8030 v1 · 2014-10-29 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCWLKSFGEMNKTAJTP23KS36FNU}

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	2026-05-18T02:39:07.489230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8acb548a6231aa981337eb6a96fc56d14e489b3215b8a7a19df88d5bb3679a9

Aliases

arxiv: 1410.8030 · arxiv_version: 1410.8030v1 · doi: 10.48550/arxiv.1410.8030 · pith_short_12: ZCWLKSFGEMNK · pith_short_16: ZCWLKSFGEMNKTAJT · pith_short_8: ZCWLKSFG

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/ZCWLKSFGEMNKTAJTP23KS36FNU \
  | 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: c8acb548a6231aa981337eb6a96fc56d14e489b3215b8a7a19df88d5bb3679a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dfc82d84464607a0244f6dd25726ba7cdaff4693fa49698c399e0f75a9decec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-10-29T15:48:09Z",
    "title_canon_sha256": "eca5c9da62388b67137712200490f4d402b76470841b9cc24301d0baa99ed025"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8030",
    "kind": "arxiv",
    "version": 1
  }
}