Pith Number

pith:4MTYMQ7O

pith:2010:4MTYMQ7O3PYUL7KCDG3TEW7Q55

not attested not anchored not stored refs pending

Meromorphic extensions from small families of circles and holomorphic extensions from spheres

Josip Globevnik

arxiv:1101.0136 v2 · 2010-12-30 · 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{4MTYMQ7O3PYUL7KCDG3TEW7Q55}

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	2026-05-18T04:31:23.146406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3278643eedbf145fd4219b7325bf0ef64353bd0da22718adc242f4fc21db65e

Aliases

arxiv: 1101.0136 · arxiv_version: 1101.0136v2 · doi: 10.48550/arxiv.1101.0136 · pith_short_12: 4MTYMQ7O3PYU · pith_short_16: 4MTYMQ7O3PYUL7KC · pith_short_8: 4MTYMQ7O

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/4MTYMQ7O3PYUL7KCDG3TEW7Q55 \
  | 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: e3278643eedbf145fd4219b7325bf0ef64353bd0da22718adc242f4fc21db65e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9da3c57493ccdfcb44c138427eef88b4f46ee2b90b20d79b753b528f2e834984",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-12-30T19:07:35Z",
    "title_canon_sha256": "29b87c0510e467a9b85b98c06706c1b584e084cc28872f4de61c2f895a37c5e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0136",
    "kind": "arxiv",
    "version": 2
  }
}