Pith Number

pith:FLH5UU7O

pith:2016:FLH5UU7O7XXTMGSTBKGSHWV2XE

not attested not anchored not stored refs pending

On the Krein-Milman-Ky Fan theorem for convex compact metrizable sets

Mohammed Bachir

arxiv:1604.08473 v4 · 2016-04-28 · 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{FLH5UU7O7XXTMGSTBKGSHWV2XE}

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	2026-05-18T01:11:17.246142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2acfda53eefdef361a530a8d23dabab90717d8ce646e336c32049755d389d566

Aliases

arxiv: 1604.08473 · arxiv_version: 1604.08473v4 · doi: 10.48550/arxiv.1604.08473 · pith_short_12: FLH5UU7O7XXT · pith_short_16: FLH5UU7O7XXTMGST · pith_short_8: FLH5UU7O

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/FLH5UU7O7XXTMGSTBKGSHWV2XE \
  | 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: 2acfda53eefdef361a530a8d23dabab90717d8ce646e336c32049755d389d566

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bb909ab40533a4578d6bc2087013b1bc7dd274fb3131f7074885f4fcc28337b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-04-28T15:44:08Z",
    "title_canon_sha256": "7a6042a8be370a6a90cc1d721f4edb97f53d4489f90707655430940a19de25ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08473",
    "kind": "arxiv",
    "version": 4
  }
}