Pith Number

pith:ZKCVHTXD

pith:2015:ZKCVHTXDZ3UNKFH3BRDZH2FUFB

not attested not anchored not stored refs pending

Clifford Parallelisms and External Planes to the Klein quadric

Hans Havlicek

arxiv:1511.06308 v1 · 2015-11-19 · math.AG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZKCVHTXDZ3UNKFH3BRDZH2FUFB}

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	2026-05-18T01:26:25.942480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca8553cee3cee8d514fb0c4793e8b4284a757827f03b2fe55ae33f070c057bba

Aliases

arxiv: 1511.06308 · arxiv_version: 1511.06308v1 · doi: 10.48550/arxiv.1511.06308 · pith_short_12: ZKCVHTXDZ3UN · pith_short_16: ZKCVHTXDZ3UNKFH3 · pith_short_8: ZKCVHTXD

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/ZKCVHTXDZ3UNKFH3BRDZH2FUFB \
  | 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: ca8553cee3cee8d514fb0c4793e8b4284a757827f03b2fe55ae33f070c057bba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54a10579cf20a57ce1028db6f79b18f1c0d69126f210d4e94c0baa0fdf4255dd",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-19T18:57:51Z",
    "title_canon_sha256": "d9941a88dfa17ec8eb5996d5003f2e14948bae4fe4aa517735ff8ae345f403dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06308",
    "kind": "arxiv",
    "version": 1
  }
}