Pith Number

pith:75XLUJSW

pith:2011:75XLUJSWJGICOAVUVYDOBQIAV7

not attested not anchored not stored refs pending

Pseudodifferential operators on periodic graphs

Steffen Roch, Vladimir S. Rabinovich

arxiv:1107.5208 v1 · 2011-07-26 · 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{75XLUJSWJGICOAVUVYDOBQIAV7}

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	2026-05-18T04:16:52.736965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff6eba265649902702b4ae06e0c100afde4aab4a593af7964d963356e3a5b37c

Aliases

arxiv: 1107.5208 · arxiv_version: 1107.5208v1 · doi: 10.48550/arxiv.1107.5208 · pith_short_12: 75XLUJSWJGIC · pith_short_16: 75XLUJSWJGICOAVU · pith_short_8: 75XLUJSW

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/75XLUJSWJGICOAVUVYDOBQIAV7 \
  | 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: ff6eba265649902702b4ae06e0c100afde4aab4a593af7964d963356e3a5b37c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a15b6718bd89bd8f933c66653756e55d05c021753b2f84240d186d80411a360e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-07-26T13:13:29Z",
    "title_canon_sha256": "655840a4ce983a13939016ee14076efb1d593033d1c843bf17df5cea181773c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5208",
    "kind": "arxiv",
    "version": 1
  }
}