Pith Number

pith:WOYAPKIP

pith:2014:WOYAPKIPX42TMRA6NCX5US7Q7U

not attested not anchored not stored refs pending

Notes on the trace problem for separately convex functions

Du\v{s}an Pokorn\'y, Ond\v{r}ej Kurka

arxiv:1409.8477 v1 · 2014-09-30 · math.OC · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WOYAPKIPX42TMRA6NCX5US7Q7U}

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	2026-05-18T00:32:21.855825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3b007a90fbf3536441e68afda4bf0fd3676a867fb51f0f91a0342bc1e35dfbf

Aliases

arxiv: 1409.8477 · arxiv_version: 1409.8477v1 · doi: 10.48550/arxiv.1409.8477 · pith_short_12: WOYAPKIPX42T · pith_short_16: WOYAPKIPX42TMRA6 · pith_short_8: WOYAPKIP

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/WOYAPKIPX42TMRA6NCX5US7Q7U \
  | 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: b3b007a90fbf3536441e68afda4bf0fd3676a867fb51f0f91a0342bc1e35dfbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7386dd4e78c0eda1ebd1e9b1902f8c306207e7ef48f13a35e605ba913caa1996",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-09-30T10:59:59Z",
    "title_canon_sha256": "c90dfb0982991236d4e885af27741cfa0330a4449751639b1c7dd0e1e7ce9b2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8477",
    "kind": "arxiv",
    "version": 1
  }
}