Pith Number

pith:UHAMAZ7U

pith:2010:UHAMAZ7UYJ6H6FGAZNMGBA2JV3

not attested not anchored not stored refs pending

On the continuity and regularity of convex extensions

Jiri Lebl, Orest Bucicovschi

arxiv:1012.5796 v5 · 2010-12-28 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UHAMAZ7UYJ6H6FGAZNMGBA2JV3}

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	2026-05-18T03:05:35.933448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1c0c067f4c27c7f14c0cb58608349aed937a25446612945a292351d979257ea

Aliases

arxiv: 1012.5796 · arxiv_version: 1012.5796v5 · doi: 10.48550/arxiv.1012.5796 · pith_short_12: UHAMAZ7UYJ6H · pith_short_16: UHAMAZ7UYJ6H6FGA · pith_short_8: UHAMAZ7U

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/UHAMAZ7UYJ6H6FGAZNMGBA2JV3 \
  | 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: a1c0c067f4c27c7f14c0cb58608349aed937a25446612945a292351d979257ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25848bdb6bd84f7d1e9735ec2befb26ec7ac98ef4136c882fee72d6e0227eb7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-12-28T17:11:31Z",
    "title_canon_sha256": "d4433ae4de3e95c855f7354ddba8ab2675c6f29d39600f641dd72cacd93bbadd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5796",
    "kind": "arxiv",
    "version": 5
  }
}