Pith Number

pith:5GII2QHQ

pith:2013:5GII2QHQS2IUWAUJHBAJTGGHBK

not attested not anchored not stored refs pending

Lojasiewicz inequality over the ring of power series in two variables

Guillaume Rond

arxiv:1301.2419 v1 · 2013-01-11 · math.AC · 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{5GII2QHQS2IUWAUJHBAJTGGHBK}

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	2026-05-18T03:36:37.986036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9908d40f096914b028938409998c70ab4bf7736a8d7c126b1d199e1778b4a25

Aliases

arxiv: 1301.2419 · arxiv_version: 1301.2419v1 · doi: 10.48550/arxiv.1301.2419 · pith_short_12: 5GII2QHQS2IU · pith_short_16: 5GII2QHQS2IUWAUJ · pith_short_8: 5GII2QHQ

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/5GII2QHQS2IUWAUJHBAJTGGHBK \
  | 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: e9908d40f096914b028938409998c70ab4bf7736a8d7c126b1d199e1778b4a25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6521a594e143670aea8ce4a0828ace03aab9ed94a4c62f89ccbbc0f70a1c0807",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-01-11T08:50:17Z",
    "title_canon_sha256": "b091944c5948fba562e332227209d0b11a23cbe69a6b8761814cbcd2ab23149f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2419",
    "kind": "arxiv",
    "version": 1
  }
}