Pith Number

pith:UCRD7QWN

pith:2014:UCRD7QWNWC63Z6CS47HDTJC2XT

not attested not anchored not stored refs pending

Classification of the spaces $C_p^*(X)$ within the Borel-Wadge hierarchy for a projective space $X$

Benjamin Vejnar, Martin Dole\v{z}al

arxiv:1409.3840 v1 · 2014-09-15 · math.FA · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UCRD7QWNWC63Z6CS47HDTJC2XT}

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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	2026-05-18T01:30:55.470296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0a23fc2cdb0bdbcf852e7ce39a45abcf3bfeeaedd7b3e5528287ea59346a617

Aliases

arxiv: 1409.3840 · arxiv_version: 1409.3840v1 · doi: 10.48550/arxiv.1409.3840 · pith_short_12: UCRD7QWNWC63 · pith_short_16: UCRD7QWNWC63Z6CS · pith_short_8: UCRD7QWN

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/UCRD7QWNWC63Z6CS47HDTJC2XT \
  | 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: a0a23fc2cdb0bdbcf852e7ce39a45abcf3bfeeaedd7b3e5528287ea59346a617

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30904c81c50825a251492b75a7028fa71dfedaa27577ec0dd7a6a7fe315e8dba",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-09-15T08:02:02Z",
    "title_canon_sha256": "3144f76a40fcacfb9998b97cb8b6fe52a3aef33a8462645df04596c4541fb5e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3840",
    "kind": "arxiv",
    "version": 1
  }
}