Pith Number

pith:N7F42YFC

pith:2010:N7F42YFCMPDDMXH7XPXRZD2MCR

not attested not anchored not stored refs pending

Normal singularities with torus actions

Alvaro Liendo (IF), Hendrik S\"u{\ss}

arxiv:1005.2462 v2 · 2010-05-14 · 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{N7F42YFCMPDDMXH7XPXRZD2MCR}

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	2026-05-18T02:56:42.666680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fcbcd60a263c6365cffbbef1c8f4c147c57765d024ac350303736af83b0660d

Aliases

arxiv: 1005.2462 · arxiv_version: 1005.2462v2 · doi: 10.48550/arxiv.1005.2462 · pith_short_12: N7F42YFCMPDD · pith_short_16: N7F42YFCMPDDMXH7 · pith_short_8: N7F42YFC

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/N7F42YFCMPDDMXH7XPXRZD2MCR \
  | 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: 6fcbcd60a263c6365cffbbef1c8f4c147c57765d024ac350303736af83b0660d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a58f3c314eeb134ad43c8c2ca82a67154317e41ba94650e2f0758f43ead0fd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-05-14T06:50:17Z",
    "title_canon_sha256": "26260b9c2bbefdb0e8d9cc3a5e772f07b24dc3fd41c6cb70bfc46454ef109048"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2462",
    "kind": "arxiv",
    "version": 2
  }
}