Pith Number

pith:EJI2ZSNQ

pith:2011:EJI2ZSNQ7ETEJ5R4XK7A7UXGM5

not attested not anchored not stored refs pending

Lojasiewicz exponent of families of ideals, Rees mixed multiplicities and Newton filtrations

Carles Bivi\`a-Ausina, Santiago Encinas

arxiv:1103.1731 v2 · 2011-03-09 · math.AG · math.AC · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EJI2ZSNQ7ETEJ5R4XK7A7UXGM5}

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	2026-05-18T00:54:14.200536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2251acc9b0f92644f63cbabe0fd2e66752abcc9bb3bfb5e026411b4485746108

Aliases

arxiv: 1103.1731 · arxiv_version: 1103.1731v2 · doi: 10.48550/arxiv.1103.1731 · pith_short_12: EJI2ZSNQ7ETE · pith_short_16: EJI2ZSNQ7ETEJ5R4 · pith_short_8: EJI2ZSNQ

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/EJI2ZSNQ7ETEJ5R4XK7A7UXGM5 \
  | 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: 2251acc9b0f92644f63cbabe0fd2e66752abcc9bb3bfb5e026411b4485746108

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dec785bb80e6e54e9d66b934c5589883b14e492b54118980b177e985876b257",
    "cross_cats_sorted": [
      "math.AC",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-09T08:23:21Z",
    "title_canon_sha256": "ce50fd2381e6f237d19be5c54133314bacfe3b4e658355e9ae5c4caec79b5bfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1731",
    "kind": "arxiv",
    "version": 2
  }
}