Pith Number

pith:QEFSFICN

pith:2013:QEFSFICNH75A6J6Y3DTF47MTXR

not attested not anchored not stored refs pending

Duality in convex problems of Bolza over functions of bounded variation

Ari-Pekka Perkki\"o, Teemu Pennanen

arxiv:1309.2121 v1 · 2013-09-09 · 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{QEFSFICNH75A6J6Y3DTF47MTXR}

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	2026-05-18T03:13:47.083824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

810b22a04d3ffa0f27d8d8e65e7d93bc4c41d4ad47ea255890d7f40c92a11b7e

Aliases

arxiv: 1309.2121 · arxiv_version: 1309.2121v1 · doi: 10.48550/arxiv.1309.2121 · pith_short_12: QEFSFICNH75A · pith_short_16: QEFSFICNH75A6J6Y · pith_short_8: QEFSFICN

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/QEFSFICNH75A6J6Y3DTF47MTXR \
  | 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: 810b22a04d3ffa0f27d8d8e65e7d93bc4c41d4ad47ea255890d7f40c92a11b7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f846b9c3e71cb8dc75ef2b4d2eb8b8b251a354d89294abae1082fb87987d2455",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-09-09T11:47:29Z",
    "title_canon_sha256": "72a480f206f281b87a8e2eef5c3650ec02ed35284e454dae2dbfcfe10c2336e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2121",
    "kind": "arxiv",
    "version": 1
  }
}