Pith Number

pith:QOCGZBK3

pith:2005:QOCGZBK32AL4W6ZMJ4W6IMIMAW

not attested not anchored not stored refs pending

A General Fredholm Theory and Applications

Helmut H. Hofer

arxiv:math/0509366 v1 · 2005-09-16 · math.SG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QOCGZBK32AL4W6ZMJ4W6IMIMAW}

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.

Cited by

1 paper in Pith

Scale Calculus and M-Polyfolds -- An Introduction

Receipt and verification

First computed	2026-07-04T14:40:23.219545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83846c855bd017cb7b2c4f2de4310c05a6a2a505e08c41707617968c38a83746

Aliases

arxiv: math/0509366 · arxiv_version: math/0509366v1 · doi: 10.48550/arxiv.math/0509366 · pith_short_12: QOCGZBK32AL4 · pith_short_16: QOCGZBK32AL4W6ZM · pith_short_8: QOCGZBK3

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/QOCGZBK32AL4W6ZMJ4W6IMIMAW \
  | 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: 83846c855bd017cb7b2c4f2de4310c05a6a2a505e08c41707617968c38a83746

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28f96a8808757170fa1ce60037b11b0f978c9bba541b810bc5bce78c5a132b03",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2005-09-16T00:55:56Z",
    "title_canon_sha256": "fa08e33863edb4a64376cb493b735f05eda276355a2ffdde438d3007f9dc4827"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509366",
    "kind": "arxiv",
    "version": 1
  }
}