Pith Number

pith:TZG3G23S

pith:2019:TZG3G23SLWF7ZR2K5YPEJLZWM7

not attested not anchored not stored refs pending

The principal-symbol index map for an algebra of pseudodifferential operators

Severino T. Melo

arxiv:1901.10419 v2 · 2019-01-29 · math.DG · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZG3G23SLWF7ZR2K5YPEJLZWM7}

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	2026-05-17T23:47:02.032176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e4db36b725d8bfcc74aee1e44af3667ef9038d0d6b0b421e550401cbb57a707

Aliases

arxiv: 1901.10419 · arxiv_version: 1901.10419v2 · doi: 10.48550/arxiv.1901.10419 · pith_short_12: TZG3G23SLWF7 · pith_short_16: TZG3G23SLWF7ZR2K · pith_short_8: TZG3G23S

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/TZG3G23SLWF7ZR2K5YPEJLZWM7 \
  | 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: 9e4db36b725d8bfcc74aee1e44af3667ef9038d0d6b0b421e550401cbb57a707

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "496e2dca43c17e376636b77b40072cda659fa1389a77967e49fd549fdb291236",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-01-29T17:38:02Z",
    "title_canon_sha256": "0e96d7e53e9a027eede2e572c3290d6c71632a7dc683540c0cbb7950de78cd16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.10419",
    "kind": "arxiv",
    "version": 2
  }
}