Pith Number

pith:M7ZAIFQJ

pith:2017:M7ZAIFQJS2QSEG2BDENB5OQWBK

not attested not anchored not stored refs pending

The geometry of hyperbolic lines in polar spaces

Hans Cuypers

arxiv:1707.02099 v1 · 2017-07-07 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M7ZAIFQJS2QSEG2BDENB5OQWBK}

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	2026-05-18T00:40:42.944429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67f204160996a1221b41191a1eba160a939a683e088e240519bb3da8e2722d88

Aliases

arxiv: 1707.02099 · arxiv_version: 1707.02099v1 · doi: 10.48550/arxiv.1707.02099 · pith_short_12: M7ZAIFQJS2QS · pith_short_16: M7ZAIFQJS2QSEG2B · pith_short_8: M7ZAIFQJ

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/M7ZAIFQJS2QSEG2BDENB5OQWBK \
  | 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: 67f204160996a1221b41191a1eba160a939a683e088e240519bb3da8e2722d88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82d82e1160abac658369dd1f740d720462e1572f14313dce22198104fd17c683",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-07T09:38:38Z",
    "title_canon_sha256": "41acd2b99a3ee6fea1be6156d16591dd7d803b83406af7cf0c624fd8da38e6b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02099",
    "kind": "arxiv",
    "version": 1
  }
}