Pith Number

pith:BKJRXHNH

pith:2011:BKJRXHNH6LUCQWZVGGPHMMVGBS

not attested not anchored not stored refs pending

Differential algebras with Banach-algebra coefficients II: The operator cross-ratio tau-function and the Schwarzian derivative

Emma Previato, James F. Glazebrook, Maurice J. Dupr\'e

arxiv:1104.1455 v1 · 2011-04-07 · math.OA · math-ph · math.CV · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKJRXHNH6LUCQWZVGGPHMMVGBS}

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	2026-05-18T04:24:45.001292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a931b9da7f2e8285b35319e7632a60c821d05ea98aa1c5fd5101cb1c2130f06

Aliases

arxiv: 1104.1455 · arxiv_version: 1104.1455v1 · doi: 10.48550/arxiv.1104.1455 · pith_short_12: BKJRXHNH6LUC · pith_short_16: BKJRXHNH6LUCQWZV · pith_short_8: BKJRXHNH

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/BKJRXHNH6LUCQWZVGGPHMMVGBS \
  | 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: 0a931b9da7f2e8285b35319e7632a60c821d05ea98aa1c5fd5101cb1c2130f06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b9c3fc88db45b6d174a38d71f4218765ff4a2d10fd0bbaba62b7525e0de8822",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-04-07T22:35:26Z",
    "title_canon_sha256": "d8ae70e79600c1647bc815ac6f3e83329cf4afab74e766d9df786daa8ee69d73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1455",
    "kind": "arxiv",
    "version": 1
  }
}