Pith Number

pith:WLIQVEVS

pith:2014:WLIQVEVSQ4LJPPN7G2MMWGGGSE

not attested not anchored not stored refs pending

An extension theorem of Ohsawa-Takegoshi type for sections of a vector bundle

Hossein Raufi

arxiv:1405.1637 v1 · 2014-05-07 · math.CV · 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{WLIQVEVSQ4LJPPN7G2MMWGGGSE}

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	2026-05-18T02:52:24.272185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2d10a92b2871697bdbf3698cb18c69112f4fc32cb991d8c6aef0900c3970eee

Aliases

arxiv: 1405.1637 · arxiv_version: 1405.1637v1 · doi: 10.48550/arxiv.1405.1637 · pith_short_12: WLIQVEVSQ4LJ · pith_short_16: WLIQVEVSQ4LJPPN7 · pith_short_8: WLIQVEVS

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/WLIQVEVSQ4LJPPN7G2MMWGGGSE \
  | 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: b2d10a92b2871697bdbf3698cb18c69112f4fc32cb991d8c6aef0900c3970eee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a0c9cd56cd4902e3335cd26bffb3dc76ae1d2cab650870f23b175eb838dcb5f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-05-07T15:13:08Z",
    "title_canon_sha256": "ad5fe19e289061b91ca4512ed0caf440a07f874234c0579fe723995c456d5127"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1637",
    "kind": "arxiv",
    "version": 1
  }
}