Pith Number

pith:MTARYRYI

pith:2013:MTARYRYIFKXJI5ZRRYKJAX6RH3

not attested not anchored not stored refs pending

Invertible polynomial mappings via Newton non-degeneracy

Kiyoshi Takeuchi, L.R.G. Dias, Mihai Tibar, Ying Chen

arxiv:1303.6879 v2 · 2013-03-25 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTARYRYIFKXJI5ZRRYKJAX6RH3}

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	2026-05-18T00:56:47.059069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64c11c47082aae9477318e14905fd13ee62639e63a2b64e94f9f717ce16731fe

Aliases

arxiv: 1303.6879 · arxiv_version: 1303.6879v2 · doi: 10.48550/arxiv.1303.6879 · pith_short_12: MTARYRYIFKXJ · pith_short_16: MTARYRYIFKXJI5ZR · pith_short_8: MTARYRYI

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/MTARYRYIFKXJI5ZRRYKJAX6RH3 \
  | 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: 64c11c47082aae9477318e14905fd13ee62639e63a2b64e94f9f717ce16731fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca96aa02f86824f889d4a3c1d9f154e26dce7dce4fa6bfb06438718cb512a55f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-25T13:50:46Z",
    "title_canon_sha256": "5c61d0a2a54d220763fb85a6c8192082a46bb3ff014e01919519f30fdeb66fa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6879",
    "kind": "arxiv",
    "version": 2
  }
}