Pith Number

pith:C5KQ2LOL

pith:2018:C5KQ2LOL7UNBDLVT7DQVB53NZF

not attested not anchored not stored refs pending

A homotopy theorem for Oka theory

Luca Studer

arxiv:1812.01530 v1 · 2018-12-04 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C5KQ2LOL7UNBDLVT7DQVB53NZF}

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	2026-05-17T23:59:12.251920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17550d2dcbfd1a11aeb3f8e150f76dc9496d6a7fb90e55b82e19f4f76d2aa6f3

Aliases

arxiv: 1812.01530 · arxiv_version: 1812.01530v1 · doi: 10.48550/arxiv.1812.01530 · pith_short_12: C5KQ2LOL7UNB · pith_short_16: C5KQ2LOL7UNBDLVT · pith_short_8: C5KQ2LOL

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/C5KQ2LOL7UNBDLVT7DQVB53NZF \
  | 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: 17550d2dcbfd1a11aeb3f8e150f76dc9496d6a7fb90e55b82e19f4f76d2aa6f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cacc1a09671a4b5e0ea41463b7c173fb6e5581caf3e834640cee229b9257560",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-12-04T17:02:45Z",
    "title_canon_sha256": "de8950fe4bf00a1ba8bd2804ddc21cde2c422b94256a5587f0ff38ecb25c6784"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01530",
    "kind": "arxiv",
    "version": 1
  }
}