Pith Number

pith:FVIXVFWG

pith:2015:FVIXVFWGGS3PPZGXHXYD7A2U34

not attested not anchored not stored refs pending

Convex analysis in groups and semigroups: a sampler

Jonathan M. Borwein, Ohad Giladi

arxiv:1510.04480 v1 · 2015-10-15 · 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{FVIXVFWGGS3PPZGXHXYD7A2U34}

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	2026-05-18T01:30:07.035737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d517a96c634b6f7e4d73df03f8354df1cfc413434a7c0e48524f4a008a3ec39

Aliases

arxiv: 1510.04480 · arxiv_version: 1510.04480v1 · doi: 10.48550/arxiv.1510.04480 · pith_short_12: FVIXVFWGGS3P · pith_short_16: FVIXVFWGGS3PPZGX · pith_short_8: FVIXVFWG

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/FVIXVFWGGS3PPZGXHXYD7A2U34 \
  | 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: 2d517a96c634b6f7e4d73df03f8354df1cfc413434a7c0e48524f4a008a3ec39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7a1057338ba41bc6ff161ce18487a058ace57734437b928dc38c5b3a14c2e67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-10-15T11:56:34Z",
    "title_canon_sha256": "7b14f15dece9d2d4ae2411087e8a1588c01a5e8244f97bd4fd03b8829fdbd218"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04480",
    "kind": "arxiv",
    "version": 1
  }
}