Pith Number

pith:D623CF6P

pith:2012:D623CF6PFB4J264D32UDB6PTUU

not attested not anchored not stored refs pending

A critical view on invexity

Constantin Zalinescu

arxiv:1203.1152 v1 · 2012-03-06 · 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{D623CF6PFB4J264D32UDB6PTUU}

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	2026-05-18T04:00:48.692731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fb5b117cf28789d7b83dea830f9f3a5112f15e287c873c1c29494e71082c7fe

Aliases

arxiv: 1203.1152 · arxiv_version: 1203.1152v1 · doi: 10.48550/arxiv.1203.1152 · pith_short_12: D623CF6PFB4J · pith_short_16: D623CF6PFB4J264D · pith_short_8: D623CF6P

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/D623CF6PFB4J264D32UDB6PTUU \
  | 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: 1fb5b117cf28789d7b83dea830f9f3a5112f15e287c873c1c29494e71082c7fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48772f5d5219f7a4fe89ee8da722b2bffedceb057a963c083d31eb0a03d252dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-03-06T10:03:57Z",
    "title_canon_sha256": "7a061c9552516bd66c40904c216205fcb78751a79badd0c84cbb29a3d22fe5f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1152",
    "kind": "arxiv",
    "version": 1
  }
}