Pith Number

pith:KPSD63L4

pith:2017:KPSD63L4HTPXCLDGOO3K3PWFKJ

not attested not anchored not stored refs pending

The real projective spaces in homotopy type theory

Egbert Rijke, Ulrik Buchholtz

arxiv:1704.05770 v1 · 2017-04-19 · 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{KPSD63L4HTPXCLDGOO3K3PWFKJ}

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	2026-05-18T00:46:06.598188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53e43f6d7c3cdf712c6673b6adbec5526b470a38ae1591f7b9497da3abd6dcb7

Aliases

arxiv: 1704.05770 · arxiv_version: 1704.05770v1 · doi: 10.48550/arxiv.1704.05770 · pith_short_12: KPSD63L4HTPX · pith_short_16: KPSD63L4HTPXCLDG · pith_short_8: KPSD63L4

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/KPSD63L4HTPXCLDGOO3K3PWFKJ \
  | 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: 53e43f6d7c3cdf712c6673b6adbec5526b470a38ae1591f7b9497da3abd6dcb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0b7990c527128bfa84682e2320a24d8760b773cd187f67f09efcb21fd4141f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-04-19T15:18:31Z",
    "title_canon_sha256": "927f66be04feeb352014b2d7b485420edfa1bbc712e14180549f260bca92ee1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05770",
    "kind": "arxiv",
    "version": 1
  }
}