Pith Number

pith:CWNXC5GS

pith:2012:CWNXC5GS4E5C6BKO5FCISEY6CC

not attested not anchored not stored refs pending

Relating F-Signature and F-Splitting Ratio of Pairs Using Left-Derivatives

Eric Canton

arxiv:1206.4293 v4 · 2012-06-19 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CWNXC5GS4E5C6BKO5FCISEY6CC}

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	2026-05-18T03:39:52.907149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

159b7174d2e13a2f054ee94489131e10b6f2986bdff23eabce236b0a1e3399f0

Aliases

arxiv: 1206.4293 · arxiv_version: 1206.4293v4 · doi: 10.48550/arxiv.1206.4293 · pith_short_12: CWNXC5GS4E5C · pith_short_16: CWNXC5GS4E5C6BKO · pith_short_8: CWNXC5GS

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/CWNXC5GS4E5C6BKO5FCISEY6CC \
  | 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: 159b7174d2e13a2f054ee94489131e10b6f2986bdff23eabce236b0a1e3399f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ce5951ab84d3147d4ed4aa532b766f064285e297def7c5c3303ad753b3b7ba2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-06-19T19:17:30Z",
    "title_canon_sha256": "010e0b00cd5fcffd7ecf36e2711a14b0c8d6f3081614e96f103f8b184ceeb0df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4293",
    "kind": "arxiv",
    "version": 4
  }
}