Pith Number

pith:4I2USVUC

pith:2015:4I2USVUCFC4GY7UO5TWIOGNCZ4

not attested not anchored not stored refs pending

On distinct cross-ratios in positive characteristic

Misha Rudnev

arxiv:1508.05142 v6 · 2015-08-20 · 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{4I2USVUCFC4GY7UO5TWIOGNCZ4}

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	2026-05-18T01:23:12.022567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e23549568228b86c7e8eecec8719a2cf39f143006a7254d37b9ba3b482bea467

Aliases

arxiv: 1508.05142 · arxiv_version: 1508.05142v6 · doi: 10.48550/arxiv.1508.05142 · pith_short_12: 4I2USVUCFC4G · pith_short_16: 4I2USVUCFC4GY7UO · pith_short_8: 4I2USVUC

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/4I2USVUCFC4GY7UO5TWIOGNCZ4 \
  | 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: e23549568228b86c7e8eecec8719a2cf39f143006a7254d37b9ba3b482bea467

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14e2c3cd792e9cd93e304f6775affb262e1bd3c233bd49aff2844dfc45f1c029",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-20T22:50:17Z",
    "title_canon_sha256": "da310320a39e99e66295699b9db2af7b8cfa9951aae01a51c7ce8f18769bef09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05142",
    "kind": "arxiv",
    "version": 6
  }
}