Pith Number

pith:VXEPGUIL

pith:2017:VXEPGUILF5INER4JMSO7GLTSJF

not attested not anchored not stored refs pending

A convex extension of lower semicontinuous functions defined on normal Hausdorff space

Mohammed Bachir

arxiv:1705.08137 v1 · 2017-05-23 · 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{VXEPGUILF5INER4JMSO7GLTSJF}

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	2026-05-18T00:43:49.246013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adc8f3510b2f50d24789649df32e7249482f3965fb9ac58d6380c74e01a583f6

Aliases

arxiv: 1705.08137 · arxiv_version: 1705.08137v1 · doi: 10.48550/arxiv.1705.08137 · pith_short_12: VXEPGUILF5IN · pith_short_16: VXEPGUILF5INER4J · pith_short_8: VXEPGUIL

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/VXEPGUILF5INER4JMSO7GLTSJF \
  | 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: adc8f3510b2f50d24789649df32e7249482f3965fb9ac58d6380c74e01a583f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2810b9f52b0ec8e064adc6246742303a1c9c02f690904f65b0486504aa0ccf58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-05-23T08:55:42Z",
    "title_canon_sha256": "a69ed40d29976dba2492e5465be8c41bf96a599c3b6935b5dd43683bc00af45f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08137",
    "kind": "arxiv",
    "version": 1
  }
}