Pith Number

pith:QFRMO32A

pith:2018:QFRMO32AW4OWVIREP236P3COBY

not attested not anchored not stored refs pending

Cr-invariants for surfaces in 4-space

Jorge Luiz Deolindo Silva

arxiv:1807.11133 v1 · 2018-07-30 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QFRMO32AW4OWVIREP236P3COBY}

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	2026-05-18T00:09:32.843277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8162c76f40b71d6aa2247eb7e7ec4e0e2cace3f21f4709184fee8f4875a5057d

Aliases

arxiv: 1807.11133 · arxiv_version: 1807.11133v1 · doi: 10.48550/arxiv.1807.11133 · pith_short_12: QFRMO32AW4OW · pith_short_16: QFRMO32AW4OWVIRE · pith_short_8: QFRMO32A

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/QFRMO32AW4OWVIREP236P3COBY \
  | 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: 8162c76f40b71d6aa2247eb7e7ec4e0e2cace3f21f4709184fee8f4875a5057d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "511d1a344edaf0203dc65fe9389d1815b15db297c077ca022f3a42521033dbd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-07-30T01:13:07Z",
    "title_canon_sha256": "0d55efc153a71f2d51c2abd58a93660596f3c033257c1569795521268be7c0ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11133",
    "kind": "arxiv",
    "version": 1
  }
}