Pith Number

pith:VA3XPX56

pith:2018:VA3XPX565E6TSBBZ25J7WMK3KB

not attested not anchored not stored refs pending

Leading Coefficients and the Multiplicity of Known Roots

Gregory J. Clark, Joshua N. Cooper

arxiv:1806.05222 v1 · 2018-06-13 · 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{VA3XPX565E6TSBBZ25J7WMK3KB}

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	2026-05-18T00:13:16.778817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a83777dfbee93d390439d753fb315b505fa8346d847c842b80190ac06ac57c03

Aliases

arxiv: 1806.05222 · arxiv_version: 1806.05222v1 · doi: 10.48550/arxiv.1806.05222 · pith_short_12: VA3XPX565E6T · pith_short_16: VA3XPX565E6TSBBZ · pith_short_8: VA3XPX56

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/VA3XPX565E6TSBBZ25J7WMK3KB \
  | 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: a83777dfbee93d390439d753fb315b505fa8346d847c842b80190ac06ac57c03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71de52a61c3505ebe4139a55bc11117d2fb044c4df1767b9fa8c9d0a10c785f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-13T18:59:06Z",
    "title_canon_sha256": "4777968df2a2e37778de429047a7f32c89591910fb99762724ae4dec6eefde82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.05222",
    "kind": "arxiv",
    "version": 1
  }
}