Pith Number

pith:7ATB24OB

pith:2010:7ATB24OBI5UH4ZKOCBW3Y3P35T

not attested not anchored not stored refs pending

Invariants of Hypersurface Singularities in Positive Characteristic

Gert-Martin Greuel, Thomas Markwig, Yousra Boubakri

arxiv:1005.4503 v3 · 2010-05-25 · 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{7ATB24OBI5UH4ZKOCBW3Y3P35T}

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	2026-05-18T03:59:25.818817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8261d71c147687e654e106dbc6dfbecd9274286e5ca2bbdb9a420afba8a4823

Aliases

arxiv: 1005.4503 · arxiv_version: 1005.4503v3 · doi: 10.48550/arxiv.1005.4503 · pith_short_12: 7ATB24OBI5UH · pith_short_16: 7ATB24OBI5UH4ZKO · pith_short_8: 7ATB24OB

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/7ATB24OBI5UH4ZKOCBW3Y3P35T \
  | 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: f8261d71c147687e654e106dbc6dfbecd9274286e5ca2bbdb9a420afba8a4823

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "329a85ef8558bfe4e6f0ccf5e524330809a46f315d813cfb969fbadb2c1e0964",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-05-25T08:03:39Z",
    "title_canon_sha256": "a6186112ea124a7877c9edb826d32d3a9a43b4a76668f64159494047ef676938"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4503",
    "kind": "arxiv",
    "version": 3
  }
}