Pith Number

pith:57WE3ACS

pith:2015:57WE3ACS356QJHKAOJP75YLLIO

not attested not anchored not stored refs pending

Unlikely Intersection For Two-Parameter Families of Polynomials

Dragos Ghioca, Liang-Chung Hsia, Thomas J. Tucker

arxiv:1507.04993 v1 · 2015-07-17 · math.DS · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{57WE3ACS356QJHKAOJP75YLLIO}

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	2026-05-18T01:36:42.196581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efec4d8052df7d049d40725ffee16b43920f280523d5c058f17ed0002e167429

Aliases

arxiv: 1507.04993 · arxiv_version: 1507.04993v1 · doi: 10.48550/arxiv.1507.04993 · pith_short_12: 57WE3ACS356Q · pith_short_16: 57WE3ACS356QJHKA · pith_short_8: 57WE3ACS

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/57WE3ACS356QJHKAOJP75YLLIO \
  | 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: efec4d8052df7d049d40725ffee16b43920f280523d5c058f17ed0002e167429

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa04f56836a53df6e063967a8270f0db923fb45cce3184cad5147fbaee4f1bb7",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-07-17T15:11:29Z",
    "title_canon_sha256": "cb728c7b1e2f0c96f9dda10b429a37288da4c683f7f526fdd8da8a324f393ed7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04993",
    "kind": "arxiv",
    "version": 1
  }
}