Pith Number

pith:G2B7G45O

pith:2026:G2B7G45OZVETAJYENEFCNRASHY

not attested not anchored not stored refs pending

Elements of finite geometry I

Oliver Knill

arxiv:2608.06405 v1 · 2026-08-03 · math.HO · cs.DM · 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{G2B7G45OZVETAJYENEFCNRASHY}

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	2026-08-10T01:10:35.160583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3683f373aecd49302704690a26c4123e26cf53ae28141c39fb1b4bfe4c1add76

Aliases

arxiv: 2608.06405 · arxiv_version: 2608.06405v1 · doi: 10.48550/arxiv.2608.06405 · pith_short_12: G2B7G45OZVET · pith_short_16: G2B7G45OZVETAJYE · pith_short_8: G2B7G45O

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/G2B7G45OZVETAJYENEFCNRASHY \
  | 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: 3683f373aecd49302704690a26c4123e26cf53ae28141c39fb1b4bfe4c1add76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a5efd50a42a6373602dff232336d9b869247647332af9aa121f2ea019d3ced5",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2026-08-03T03:30:08Z",
    "title_canon_sha256": "b0c3dcaceee2dbaeb364b0c6f666aed5902898a052579d21b94cb1ea6f40b1aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06405",
    "kind": "arxiv",
    "version": 1
  }
}