Pith Number

pith:GHCFT4LT

pith:2011:GHCFT4LTTUOT5W7FZZUGKARFEM

not attested not anchored not stored refs pending

Noncommutative differential operators, Sobolev spaces and the centre of a category

Edwin Beggs, Tomasz Brzezinski

arxiv:1108.5047 v2 · 2011-08-25 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHCFT4LTTUOT5W7FZZUGKARFEM}

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	2026-05-18T04:04:06.609555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31c459f1739d1d3edbe5ce6865022523000ad1023ae598c13585ae95dc6860bc

Aliases

arxiv: 1108.5047 · arxiv_version: 1108.5047v2 · doi: 10.48550/arxiv.1108.5047 · pith_short_12: GHCFT4LTTUOT · pith_short_16: GHCFT4LTTUOT5W7F · pith_short_8: GHCFT4LT

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/GHCFT4LTTUOT5W7FZZUGKARFEM \
  | 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: 31c459f1739d1d3edbe5ce6865022523000ad1023ae598c13585ae95dc6860bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ae127e93ddeecda5b09cb04d1af2a033d92b1a1821358d798e0f03d38e8accd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-08-25T09:31:36Z",
    "title_canon_sha256": "e50414e716a32beabe80de1f3cd5061174c2ebb29374a28be30123c0b5ddba31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5047",
    "kind": "arxiv",
    "version": 2
  }
}