Pith Number

pith:QXFOED5E

pith:2023:QXFOED5E3M2ERIZIZI4OQJDYHZ

not attested not anchored not stored refs pending

Generalized Relative Interiors and Generalized Convexity in Infinite Dimensions

Boris Mordukhovich, Nguyen Mau Nam, Vo Si Trong Long

arxiv:2307.15869 v1 · 2023-07-29 · 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{QXFOED5E3M2ERIZIZI4OQJDYHZ}

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	2026-07-05T06:35:55.596823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85cae20fa4db3448a328ca38e824783e634370a0dd219e28d3e10bf84efd0de4

Aliases

arxiv: 2307.15869 · arxiv_version: 2307.15869v1 · doi: 10.48550/arxiv.2307.15869 · pith_short_12: QXFOED5E3M2E · pith_short_16: QXFOED5E3M2ERIZI · pith_short_8: QXFOED5E

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/QXFOED5E3M2ERIZIZI4OQJDYHZ \
  | 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: 85cae20fa4db3448a328ca38e824783e634370a0dd219e28d3e10bf84efd0de4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d34c71b3ec124625862d8b2d572d70575baa6107be81af7344fb62c47bba10a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-07-29T02:26:57Z",
    "title_canon_sha256": "457c6781a1193f5ed406b97dc1ebf1c70d8acd587cd2942494d545a841e30569"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.15869",
    "kind": "arxiv",
    "version": 1
  }
}