Pith Number

pith:ZCILDWCU

pith:2018:ZCILDWCUT5VDVRAB5DOX25HBRN

not attested not anchored not stored refs pending

On an Extension of the Mean Index to a large subset of Linear Canonical Relations

Matthew Grace, Yusuf G\"oren

arxiv:1811.02776 v1 · 2018-11-07 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCILDWCUT5VDVRAB5DOX25HBRN}

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	2026-05-18T00:01:20.828416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c890b1d8549f6a3ac401e8dd7d74e18b6b0532a336c684c1b02db0923aba2e42

Aliases

arxiv: 1811.02776 · arxiv_version: 1811.02776v1 · doi: 10.48550/arxiv.1811.02776 · pith_short_12: ZCILDWCUT5VD · pith_short_16: ZCILDWCUT5VDVRAB · pith_short_8: ZCILDWCU

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/ZCILDWCUT5VDVRAB5DOX25HBRN \
  | 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: c890b1d8549f6a3ac401e8dd7d74e18b6b0532a336c684c1b02db0923aba2e42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cae64d7b6d4d4d9f0dc7a2c6b65b278f3690b02687114f031332fd9e687d74cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2018-11-07T06:44:03Z",
    "title_canon_sha256": "606589085f5927166035a20fedd4fc5b03757ef39d2ca376fde3faae78e657a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02776",
    "kind": "arxiv",
    "version": 1
  }
}