Pith Number

pith:VZIZAKG5

pith:2014:VZIZAKG5FPCBMPRJ2BF5QFWQD3

not attested not anchored not stored refs pending

Polynomial exponential equations and Zilber's conjecture

Umberto Zannier, Vincenzo Mantova

arxiv:1402.0685 v2 · 2014-02-04 · math.NT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZIZAKG5FPCBMPRJ2BF5QFWQD3}

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	2026-05-18T00:51:52.553112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae519028dd2bc4163e29d04bd816d01ee140246f39f3a9898bfde1bc2b150009

Aliases

arxiv: 1402.0685 · arxiv_version: 1402.0685v2 · doi: 10.48550/arxiv.1402.0685 · pith_short_12: VZIZAKG5FPCB · pith_short_16: VZIZAKG5FPCBMPRJ · pith_short_8: VZIZAKG5

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/VZIZAKG5FPCBMPRJ2BF5QFWQD3 \
  | 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: ae519028dd2bc4163e29d04bd816d01ee140246f39f3a9898bfde1bc2b150009

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18430e50b6a7b3c7f7e674195c2b20dd3c7972dc1a5b1efac3a23a860a2216f8",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-02-04T10:47:37Z",
    "title_canon_sha256": "62995b012c50aa6c31040f6c6e28edb8a417986b70477a86ba191d971e01bc93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0685",
    "kind": "arxiv",
    "version": 2
  }
}