Pith Number

pith:5YJ3YQJJ

pith:2025:5YJ3YQJJJMORWZQUCA5GADR2MI

not attested not anchored not stored refs pending

Characterizations of Faces of Convex Sets in Infinite-dimensional Vector Spaces

Valentin V. Gorokhovik

arxiv:2506.08742 v1 · 2025-06-10 · 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{5YJ3YQJJJMORWZQUCA5GADR2MI}

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	2026-07-05T11:19:12.506448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee13bc41294b1d1b6614103a600e3a621912a71ea98521a57cfd0c978fbc7e3b

Aliases

arxiv: 2506.08742 · arxiv_version: 2506.08742v1 · doi: 10.48550/arxiv.2506.08742 · pith_short_12: 5YJ3YQJJJMOR · pith_short_16: 5YJ3YQJJJMORWZQU · pith_short_8: 5YJ3YQJJ

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/5YJ3YQJJJMORWZQUCA5GADR2MI \
  | 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: ee13bc41294b1d1b6614103a600e3a621912a71ea98521a57cfd0c978fbc7e3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a26948ec4156e5110af6dae283f992e647ec375e7cb20d964804ae32f1a3e6fb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-10T12:38:08Z",
    "title_canon_sha256": "4de785f32039e4230f196904602643d760e33e08b1dbb4e183f1fe14a6d000a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08742",
    "kind": "arxiv",
    "version": 1
  }
}