Pith Number

pith:FT6643LC

pith:2016:FT6643LCLLUBD36QOMYQXRRFHT

not attested not anchored not stored refs pending

Connections between discriminants and the root distribution of polynomials with rational generating function

Khang Tran

arxiv:1601.04382 v1 · 2016-01-18 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FT6643LCLLUBD36QOMYQXRRFHT}

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	2026-05-18T01:22:45.210216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cfdee6d625ae811efd073310bc6253cf2132b30fd4570963ac63ce2260dd1f1

Aliases

arxiv: 1601.04382 · arxiv_version: 1601.04382v1 · doi: 10.48550/arxiv.1601.04382 · pith_short_12: FT6643LCLLUB · pith_short_16: FT6643LCLLUBD36Q · pith_short_8: FT6643LC

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/FT6643LCLLUBD36QOMYQXRRFHT \
  | 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: 2cfdee6d625ae811efd073310bc6253cf2132b30fd4570963ac63ce2260dd1f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a91ccdaf578d3afbf03102bf9d86c4e311a9cd209a70328e4c2c8b64f85e1bfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-01-18T01:35:48Z",
    "title_canon_sha256": "82acf99733a62b36e3178c1e88166cdc8f623906dd1ed341d779ea577072d9a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04382",
    "kind": "arxiv",
    "version": 1
  }
}