Pith Number

pith:PWXFBRD4

pith:2012:PWXFBRD4QMI5BMZA47R6EI3M5R

not attested not anchored not stored refs pending

On the structure of finite level and \omega-decomposable Borel functions

Luca Motto Ros

arxiv:1206.0795 v2 · 2012-06-05 · math.LO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PWXFBRD4QMI5BMZA47R6EI3M5R}

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	2026-05-18T03:25:59.472814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dae50c47c8311d0b320e7e3e2236cec676491b406cf2de4137922826119267b

Aliases

arxiv: 1206.0795 · arxiv_version: 1206.0795v2 · doi: 10.48550/arxiv.1206.0795 · pith_short_12: PWXFBRD4QMI5 · pith_short_16: PWXFBRD4QMI5BMZA · pith_short_8: PWXFBRD4

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/PWXFBRD4QMI5BMZA47R6EI3M5R \
  | 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: 7dae50c47c8311d0b320e7e3e2236cec676491b406cf2de4137922826119267b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f78985e55793c3deb67380f292a82a200d7b80f8b20f4230b44117d878ddedc",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-06-05T00:00:30Z",
    "title_canon_sha256": "0d94f78790b191090a78512fb9908dd5d6fc40c6f044267405b6e4b6e671ae77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0795",
    "kind": "arxiv",
    "version": 2
  }
}