Pith Number

pith:MPXHTYSY

pith:2014:MPXHTYSYM2K3V72LOEAOJK4KG6

not attested not anchored not stored refs pending

Networks for the weak topology of Banach and Fr\'echet spaces

J. K\c{a}kol, S. Gabriyelyan, W. Kubi\'s, W. Marciszewski

arxiv:1412.1748 v1 · 2014-12-04 · 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{MPXHTYSYM2K3V72LOEAOJK4KG6}

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	2026-05-18T01:29:54.678246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63ee79e2586695baff4b7100e4ab8a379d024b3eba69292ed55048b0080ecca0

Aliases

arxiv: 1412.1748 · arxiv_version: 1412.1748v1 · doi: 10.48550/arxiv.1412.1748 · pith_short_12: MPXHTYSYM2K3 · pith_short_16: MPXHTYSYM2K3V72L · pith_short_8: MPXHTYSY

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/MPXHTYSYM2K3V72LOEAOJK4KG6 \
  | 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: 63ee79e2586695baff4b7100e4ab8a379d024b3eba69292ed55048b0080ecca0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d89370912c466a3af5a6399344b0ec317fd18252e43612aeea4b1db3ce0da168",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-12-04T18:02:53Z",
    "title_canon_sha256": "f2d56386205e8249812e81fac80e7a3524c303c9f5a5e12b77d9f420720e4895"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1748",
    "kind": "arxiv",
    "version": 1
  }
}