Pith Number

pith:3XAXZT72

pith:2016:3XAXZT72KBCC5UP3GYSDRMR7GT

not attested not anchored not stored refs pending

L-convexity on graph structures

Hiroshi Hirai

arxiv:1610.02469 v1 · 2016-10-08 · math.OC · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XAXZT72KBCC5UP3GYSDRMR7GT}

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	2026-05-18T01:02:51.436828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddc17ccffa50442ed1fb362438b23f34fd9256789be0fe5588bd6aff5844bec5

Aliases

arxiv: 1610.02469 · arxiv_version: 1610.02469v1 · doi: 10.48550/arxiv.1610.02469 · pith_short_12: 3XAXZT72KBCC · pith_short_16: 3XAXZT72KBCC5UP3 · pith_short_8: 3XAXZT72

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/3XAXZT72KBCC5UP3GYSDRMR7GT \
  | 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: ddc17ccffa50442ed1fb362438b23f34fd9256789be0fe5588bd6aff5844bec5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88ff914d89da5129145b5a87468efec00467317ced3065614f5bfa7812b9c47f",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-10-08T03:02:55Z",
    "title_canon_sha256": "88d1303e0c625e1753c3ae16adeff1e668b9303369a61df152067a92a8de2d50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02469",
    "kind": "arxiv",
    "version": 1
  }
}