Pith Number

pith:WCYMQJWK

pith:2012:WCYMQJWKDJGGOX2F7XHIMI7LSA

not attested not anchored not stored refs pending

The regularity of the $\eta$ function for the Shubin calculus

Pedro Lopes

arxiv:1209.1206 v1 · 2012-09-06 · 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{WCYMQJWKDJGGOX2F7XHIMI7LSA}

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	2026-05-18T03:46:06.247656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0b0c826ca1a4c675f45fdce8623eb901ac156983f27ec9b760560e5cdabb54d

Aliases

arxiv: 1209.1206 · arxiv_version: 1209.1206v1 · doi: 10.48550/arxiv.1209.1206 · pith_short_12: WCYMQJWKDJGG · pith_short_16: WCYMQJWKDJGGOX2F · pith_short_8: WCYMQJWK

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/WCYMQJWKDJGGOX2F7XHIMI7LSA \
  | 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: b0b0c826ca1a4c675f45fdce8623eb901ac156983f27ec9b760560e5cdabb54d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a723796a43d037fe664c698483c709ab51bcab08b0bb47f2a1c90f5972dc7898",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-09-06T07:39:28Z",
    "title_canon_sha256": "a2063364bce18a568ae298672c22ead4134cb78c2e25a497319d211df59aafa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1206",
    "kind": "arxiv",
    "version": 1
  }
}