Pith Number

pith:VHKR67OO

pith:2016:VHKR67OOJJGNGJU6CPN7RGAZDJ

not attested not anchored not stored refs pending

Filtration Relative, l'Id\'eal de Bernstein et ses pentes

Philippe Maisonobe

arxiv:1610.03354 v1 · 2016-10-06 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VHKR67OOJJGNGJU6CPN7RGAZDJ}

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	2026-05-18T01:02:31.714956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9d51f7dce4a4cd3269e13dbf898191a593b573a611b8c5ef241a79368ad0de0

Aliases

arxiv: 1610.03354 · arxiv_version: 1610.03354v1 · doi: 10.48550/arxiv.1610.03354 · pith_short_12: VHKR67OOJJGN · pith_short_16: VHKR67OOJJGNGJU6 · pith_short_8: VHKR67OO

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/VHKR67OOJJGNGJU6CPN7RGAZDJ \
  | 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: a9d51f7dce4a4cd3269e13dbf898191a593b573a611b8c5ef241a79368ad0de0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfae09f759eb1c3473f283570e31562a19b845c9d322c468985f9418f7ce7611",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-10-06T14:24:31Z",
    "title_canon_sha256": "4accc96804320b9a71836a8c1c850990365c7cf98e393213458a3d9e8d81b122"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03354",
    "kind": "arxiv",
    "version": 1
  }
}