Pith Number

pith:CV5TNAF3

pith:2011:CV5TNAF3L4FRSMXELOKWHI3MUE

not attested not anchored not stored refs pending

Spaces of equivariant algebraic maps from real projective spaces into complex projective spaces

Andrzej Kozlowski, Kohhei Yamaguchi

arxiv:1109.0353 v1 · 2011-09-02 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CV5TNAF3L4FRSMXELOKWHI3MUE}

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	2026-05-18T04:14:15.888754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

157b3680bb5f0b1932e45b9563a36ca1283848c4e7f7ed8409f245b4c6a36284

Aliases

arxiv: 1109.0353 · arxiv_version: 1109.0353v1 · doi: 10.48550/arxiv.1109.0353 · pith_short_12: CV5TNAF3L4FR · pith_short_16: CV5TNAF3L4FRSMXE · pith_short_8: CV5TNAF3

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/CV5TNAF3L4FRSMXELOKWHI3MUE \
  | 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: 157b3680bb5f0b1932e45b9563a36ca1283848c4e7f7ed8409f245b4c6a36284

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2ef6b3ad32a9b00f76d188d9a1cc76fa0acc37c0066e86ce446e4cb9089c078",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-09-02T04:23:54Z",
    "title_canon_sha256": "d3e8c5ee9b857f2d3e1d0732dbdd137cd67c635a96828cadbf3a8f2dd69f254b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0353",
    "kind": "arxiv",
    "version": 1
  }
}