Pith Number

pith:CBACJZU7

pith:2013:CBACJZU7XPLGKLXV342Y7HUHC3

not attested not anchored not stored refs pending

On the Polyak convexity principle and its application to variational analysis

Amos Uderzo

arxiv:1303.7443 v1 · 2013-03-29 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CBACJZU7XPLGKLXV342Y7HUHC3}

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	2026-05-18T03:29:28.399423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

104024e69fbbd6652ef5df358f9e8716f45a38a69f0d0697d2ac7b008d8f66d5

Aliases

arxiv: 1303.7443 · arxiv_version: 1303.7443v1 · doi: 10.48550/arxiv.1303.7443 · pith_short_12: CBACJZU7XPLG · pith_short_16: CBACJZU7XPLGKLXV · pith_short_8: CBACJZU7

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/CBACJZU7XPLGKLXV342Y7HUHC3 \
  | 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: 104024e69fbbd6652ef5df358f9e8716f45a38a69f0d0697d2ac7b008d8f66d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9c2c3ea43cf60f3f114a134751dd6a8afb5a787561f638ccddd8b5b4b1400b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-03-29T17:21:03Z",
    "title_canon_sha256": "8d84705c6cb0d9cd0d200ff132832d5ddd9ee002f6479e0efbf106dd4ed37713"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7443",
    "kind": "arxiv",
    "version": 1
  }
}