Pith Number

pith:M66GIR3E

pith:2014:M66GIR3ETHW4IIINYBBSUNYP3F

not attested not anchored not stored refs pending

Irrational mixed decomposition and sharp fewnomial bounds for tropical polynomial systems

Fr\'ed\'eric Bihan

arxiv:1410.7905 v2 · 2014-10-29 · math.AG · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M66GIR3ETHW4IIINYBBSUNYP3F}

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	2026-05-18T02:37:51.299536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67bc64476499edc4210dc0432a370fd96bbdbc103ec23da42e098d2be739bf1e

Aliases

arxiv: 1410.7905 · arxiv_version: 1410.7905v2 · doi: 10.48550/arxiv.1410.7905 · pith_short_12: M66GIR3ETHW4 · pith_short_16: M66GIR3ETHW4IIIN · pith_short_8: M66GIR3E

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/M66GIR3ETHW4IIINYBBSUNYP3F \
  | 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: 67bc64476499edc4210dc0432a370fd96bbdbc103ec23da42e098d2be739bf1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edfd10421ca5c219de04b46431d5bc6dd6a78cd2402670f96aa2ed284bcd526d",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-10-29T09:03:10Z",
    "title_canon_sha256": "5b1c6f9972941afb31aa0a4fa750947ab047b5571beba26db7c6e456247c9c8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7905",
    "kind": "arxiv",
    "version": 2
  }
}