Pith Number

pith:ZGLOBBDK

pith:2015:ZGLOBBDKTOYFKZARC2OMH7D3VK

not attested not anchored not stored refs pending

Smooth convex extensions of convex functions

Carlos Mudarra, Daniel Azagra

arxiv:1501.05226 v8 · 2015-01-21 · math.CA · math.AP · 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{ZGLOBBDKTOYFKZARC2OMH7D3VK}

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	2026-05-17T23:52:19.373897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c996e0846a9bb0556411169cc3fc7baaaab9bbe997a741cf393ebe59e3f8e385

Aliases

arxiv: 1501.05226 · arxiv_version: 1501.05226v8 · doi: 10.48550/arxiv.1501.05226 · pith_short_12: ZGLOBBDKTOYF · pith_short_16: ZGLOBBDKTOYFKZAR · pith_short_8: ZGLOBBDK

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/ZGLOBBDKTOYFKZARC2OMH7D3VK \
  | 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: c996e0846a9bb0556411169cc3fc7baaaab9bbe997a741cf393ebe59e3f8e385

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b7d87d0013fc2f0f1f1cebcc479c731c9241cae9eea121ac27a217bb0ad6052",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-01-21T16:48:33Z",
    "title_canon_sha256": "891141f1516cf7e69f083c5dd40cd63d8a4d62acc58916bddba5fed75af3ac57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05226",
    "kind": "arxiv",
    "version": 8
  }
}