Pith Number

pith:A46ONZCM

pith:2011:A46ONZCMYJ3QOAGQXPPUQESPHZ

not attested not anchored not stored refs pending

Pseudodifferential operators on manifolds with fibred corners

Claire Debord, Fr\'ed\'eric Rochon, Jean-Marie Lescure

arxiv:1112.4575 v1 · 2011-12-20 · math.DG · math.AP · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A46ONZCMYJ3QOAGQXPPUQESPHZ}

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	2026-05-18T04:05:58.499726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

073ce6e44cc2770700d0bbdf48124f3e748d5d0012a4faa880175fa417a920b7

Aliases

arxiv: 1112.4575 · arxiv_version: 1112.4575v1 · doi: 10.48550/arxiv.1112.4575 · pith_short_12: A46ONZCMYJ3Q · pith_short_16: A46ONZCMYJ3QOAGQ · pith_short_8: A46ONZCM

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/A46ONZCMYJ3QOAGQXPPUQESPHZ \
  | 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: 073ce6e44cc2770700d0bbdf48124f3e748d5d0012a4faa880175fa417a920b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40abf3fe81fdc6585343a58045f6cf0503b01f1244f6e3968b43bbd6220acc69",
    "cross_cats_sorted": [
      "math.AP",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-12-20T05:31:55Z",
    "title_canon_sha256": "6a19c89e56cc2b7e76a1931251604a5a1815f22d9f53b5fa3fcf7e43d58f24db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4575",
    "kind": "arxiv",
    "version": 1
  }
}