Pith Number

pith:4DC347NA

pith:2011:4DC347NALPXS6C6OUHNK4BU6XA

not attested not anchored not stored refs pending

Pseudodifferential operators on manifolds: a coordinate-free approach

P. Mckeag, Y. Safarov

arxiv:1106.3637 v1 · 2011-06-18 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4DC347NALPXS6C6OUHNK4BU6XA}

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	2026-05-18T04:19:42.601238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0c5be7da05bef2f0bcea1daae069eb807745f329bbc842a176b205f885efa3a

Aliases

arxiv: 1106.3637 · arxiv_version: 1106.3637v1 · doi: 10.48550/arxiv.1106.3637 · pith_short_12: 4DC347NALPXS · pith_short_16: 4DC347NALPXS6C6O · pith_short_8: 4DC347NA

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/4DC347NALPXS6C6OUHNK4BU6XA \
  | 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: e0c5be7da05bef2f0bcea1daae069eb807745f329bbc842a176b205f885efa3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6ab6821f874ba16db95ff9f6bcb1203139e67eb689fac5cd988e60cdedb090c",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-06-18T10:40:27Z",
    "title_canon_sha256": "bae3ef81c1d8a18c38520d4c9765996fb8290afa5bc2587c86eadb0c2c8a9157"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3637",
    "kind": "arxiv",
    "version": 1
  }
}