Pith Number

pith:TWMEP7UU

pith:2007:TWMEP7UU6N2V6DZU3ASJNMWP23

not attested not anchored not stored refs pending

Elementary incidence theorems for complex numbers and quaternions

Jozsef Solymosi, Konrad J. Swanepoel

arxiv:math/0703372 v1 · 2007-03-13 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TWMEP7UU6N2V6DZU3ASJNMWP23}

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	2026-07-04T15:39:25.788332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d9847fe94f3755f0f34d82496b2cfd6dedaac549c9087f6deded524aa243885

Aliases

arxiv: math/0703372 · arxiv_version: math/0703372v1 · doi: 10.48550/arxiv.math/0703372 · pith_short_12: TWMEP7UU6N2V · pith_short_16: TWMEP7UU6N2V6DZU · pith_short_8: TWMEP7UU

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/TWMEP7UU6N2V6DZU3ASJNMWP23 \
  | 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: 9d9847fe94f3755f0f34d82496b2cfd6dedaac549c9087f6deded524aa243885

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "453efb7eaa9e18683e6328499972172e6f814efedebd3bd39d937ef365149192",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-03-13T10:55:57Z",
    "title_canon_sha256": "9617a4c360585bdf3ac9c27b02458ba8cfe6e5d2825086387cfa96caeaa2ebb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703372",
    "kind": "arxiv",
    "version": 1
  }
}