Pith Number

pith:AF3WM6VV

pith:2007:AF3WM6VVDHHC35XW35BISO3XOE

not attested not anchored not stored refs pending

Block Toeplitz determinants, constrained KP and Gelfand-Dickey hierarchies

Mattia Cafasso

arxiv:0711.2248 v2 · 2007-11-14 · math.FA · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AF3WM6VVDHHC35XW35BISO3XOE}

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	2026-05-18T03:21:46.072747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0177667ab519ce2df6f6df42893b77713e9218f52cf6d99d3c6b1052a5e1084e

Aliases

arxiv: 0711.2248 · arxiv_version: 0711.2248v2 · doi: 10.48550/arxiv.0711.2248 · pith_short_12: AF3WM6VVDHHC · pith_short_16: AF3WM6VVDHHC35XW · pith_short_8: AF3WM6VV

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/AF3WM6VVDHHC35XW35BISO3XOE \
  | 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: 0177667ab519ce2df6f6df42893b77713e9218f52cf6d99d3c6b1052a5e1084e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0741feb9d1bc39d073b22ea6d71e0833c5acf7c803c1539412b8535aac3a6ea8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2007-11-14T17:16:24Z",
    "title_canon_sha256": "636ba0dc8e743a9c3a087a9a0694f6044d8ac829f51739063f35aefd0829f383"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.2248",
    "kind": "arxiv",
    "version": 2
  }
}