Pith Number

pith:Z3ZJCEKL

pith:2000:Z3ZJCEKLLIAUPPY37BMQJO4ZMZ

not attested not anchored not stored refs pending

Generic Jumps of Fredholm Indices and the Quantum Hall Effect

Joseph E. Avron, Lorenzo Sadun

arxiv:math-ph/0003003 v1 · 2000-03-05 · math-ph · cond-mat.mes-hall · 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{Z3ZJCEKLLIAUPPY37BMQJO4ZMZ}

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	2026-07-04T14:33:34.809835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cef291114b5a0147bf1bf85904bb99665e3b133e7d5f42a0fa2039f48a68a64f

Aliases

arxiv: math-ph/0003003 · arxiv_version: math-ph/0003003v1 · doi: 10.48550/arxiv.math-ph/0003003 · pith_short_12: Z3ZJCEKLLIAU · pith_short_16: Z3ZJCEKLLIAUPPY3 · pith_short_8: Z3ZJCEKL

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/Z3ZJCEKLLIAUPPY37BMQJO4ZMZ \
  | 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: cef291114b5a0147bf1bf85904bb99665e3b133e7d5f42a0fa2039f48a68a64f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15317b5f643efa7f4906809fe64653a30c3ca053e061727d865545162e4eb969",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-03-05T09:07:53Z",
    "title_canon_sha256": "8bdfe1d36d31cd57596fb142a2ecfe5759655241b7d2a505b807c8e89ea8d4f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0003003",
    "kind": "arxiv",
    "version": 1
  }
}