Pith Number

pith:WB7Z54CX

pith:2016:WB7Z54CXM7N434JUSOCBCS3GB2

not attested not anchored not stored refs pending

The Ascoli property for function spaces

Jan Greb\'ik, Jerzy Kakol, Lyubomyr Zdomskyy, Saak Gabriyelyan

arxiv:1606.01013 v1 · 2016-06-03 · math.GN · 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{WB7Z54CXM7N434JUSOCBCS3GB2}

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	2026-05-18T01:12:59.439997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b07f9ef05767dbcdf1349384114b660e81d68ccb27fd5841fcb6d2fd8dd2d5ac

Aliases

arxiv: 1606.01013 · arxiv_version: 1606.01013v1 · doi: 10.48550/arxiv.1606.01013 · pith_short_12: WB7Z54CXM7N4 · pith_short_16: WB7Z54CXM7N434JU · pith_short_8: WB7Z54CX

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/WB7Z54CXM7N434JUSOCBCS3GB2 \
  | 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: b07f9ef05767dbcdf1349384114b660e81d68ccb27fd5841fcb6d2fd8dd2d5ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeb2c5d586b795cbc43827510428d3f9972584cba8a78997af8294c84042658c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-06-03T09:24:11Z",
    "title_canon_sha256": "44a9ad596c95b3b612c4d82f9590e6f332343f93ec168e3c9cde30ffefbaaff3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01013",
    "kind": "arxiv",
    "version": 1
  }
}