Pith Number

pith:DQB4AUUP

pith:2012:DQB4AUUPY5VBVDLVLVP6GOEXB4

not attested not anchored not stored refs pending

On the semicontinuity of the mod 2 spectrum of hypersurface singularities

Andr\'as N\'emethi, Andrew Ranicki, Maciej Borodzik

arxiv:1210.0798 v2 · 2012-10-02 · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DQB4AUUPY5VBVDLVLVP6GOEXB4}

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	2026-05-18T03:39:52.657618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c03c0528fc76a1a8d755d5fe338970f25ead3382041fd671e831a59a5fc7983

Aliases

arxiv: 1210.0798 · arxiv_version: 1210.0798v2 · doi: 10.48550/arxiv.1210.0798 · pith_short_12: DQB4AUUPY5VB · pith_short_16: DQB4AUUPY5VBVDLV · pith_short_8: DQB4AUUP

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/DQB4AUUPY5VBVDLVLVP6GOEXB4 \
  | 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: 1c03c0528fc76a1a8d755d5fe338970f25ead3382041fd671e831a59a5fc7983

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b8c4f99a4912c4d4e18cca6ac123bf539e1fb4f79bf42c1b7697126acbe5c9b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-02T15:07:44Z",
    "title_canon_sha256": "cae075c0f32f72a7fd4b61594560881acbcea11f2be1097c703234a1fef1b572"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0798",
    "kind": "arxiv",
    "version": 2
  }
}