pith. sign in
Pith Number

pith:XCZZBP2G

pith:2014:XCZZBP2GL2VQIS4ZAAQTDZR3OS
not attested not anchored not stored refs pending

$F$-Dugundji spaces, $F$-Milutin spaces and absolute $F$-valued retracts

Taras Banakh, Taras Radul

arxiv:1401.2319 v1 · 2014-01-10 · math.GN

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XCZZBP2GL2VQIS4ZAAQTDZR3OS}

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 2026-05-18T01:20:26.612815Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b8b390bf465eab044b99002131e63b7486850f0cfa76cc616dae5acd45b27a22

Aliases

arxiv: 1401.2319 · arxiv_version: 1401.2319v1 · doi: 10.48550/arxiv.1401.2319 · pith_short_12: XCZZBP2GL2VQ · pith_short_16: XCZZBP2GL2VQIS4Z · pith_short_8: XCZZBP2G
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XCZZBP2GL2VQIS4ZAAQTDZR3OS \
  | 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: b8b390bf465eab044b99002131e63b7486850f0cfa76cc616dae5acd45b27a22
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9aece88fecc770126f2d03e262986c1ac66f62c183068615e329ce9e450eb1b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2014-01-10T13:03:27Z",
    "title_canon_sha256": "0781d6e1ff511f836c7dbd2b4501194e87db03fe35d8e043498fce1920c500b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2319",
    "kind": "arxiv",
    "version": 1
  }
}