Pith Number

pith:7RU4B6CR

pith:2018:7RU4B6CR6X7IIW3CWH66ILPXJN

not attested not anchored not stored refs pending

On the removal of weak compactness arguments in proof mining

Fernando Ferreira, Laurentiu Leustean, Pedro Pinto

arxiv:1810.01508 v4 · 2018-10-02 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7RU4B6CR6X7IIW3CWH66ILPXJN}

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	2026-05-17T23:39:32.179791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc69c0f851f5fe845b62b1fde42df74b7dcf030c8081d8744182c70ad333b099

Aliases

arxiv: 1810.01508 · arxiv_version: 1810.01508v4 · doi: 10.48550/arxiv.1810.01508 · pith_short_12: 7RU4B6CR6X7I · pith_short_16: 7RU4B6CR6X7IIW3C · pith_short_8: 7RU4B6CR

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/7RU4B6CR6X7IIW3CWH66ILPXJN \
  | 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: fc69c0f851f5fe845b62b1fde42df74b7dcf030c8081d8744182c70ad333b099

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dd99a5c1c6829d34574644028c2e7da50c92c605c0a4a3eeb3abcfb1e0d112d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-10-02T20:54:37Z",
    "title_canon_sha256": "f5a8af59b47e636d24cd111e6262755244f140e4a5e65cee65e659a5db751f25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01508",
    "kind": "arxiv",
    "version": 4
  }
}