Pith Number

pith:O5LDDBWS

pith:2015:O5LDDBWSO7RG7JR3QSAIAQACQD

not attested not anchored not stored refs pending

Any law of group metric invariant is an inf-convolution

Mohammed Bachir

arxiv:1507.00613 v1 · 2015-07-02 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O5LDDBWSO7RG7JR3QSAIAQACQD}

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	2026-05-18T01:37:24.131707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77563186d277e26fa63b848080400280dccad4ec8fcb7e582c538ac647e21f6d

Aliases

arxiv: 1507.00613 · arxiv_version: 1507.00613v1 · doi: 10.48550/arxiv.1507.00613 · pith_short_12: O5LDDBWSO7RG · pith_short_16: O5LDDBWSO7RG7JR3 · pith_short_8: O5LDDBWS

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/O5LDDBWSO7RG7JR3QSAIAQACQD \
  | 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: 77563186d277e26fa63b848080400280dccad4ec8fcb7e582c538ac647e21f6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b12508c114035632b897773a4fd72aeb73edbdb95e6d4b2d8bbac6cbf6f99b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-07-02T15:05:57Z",
    "title_canon_sha256": "c26889491a8cd72c0dffced382a153706fe1ec1071dfdbab1a4cb97578e96f45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00613",
    "kind": "arxiv",
    "version": 1
  }
}