Pith Number

pith:ILN3SSAY

pith:2013:ILN3SSAYD6EP7OJXZ3IGH7RJ2N

not attested not anchored not stored refs pending

Smoothness and singularities of the perfect form and the second Voronoi compactification of ${\mathcal A}_g$

Achill Sch\"urmann, Klaus Hulek, Mathieu Dutour Sikiri\'c

arxiv:1303.5846 v5 · 2013-03-23 · math.AG · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILN3SSAYD6EP7OJXZ3IGH7RJ2N}

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	2026-05-18T02:20:37.135347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42dbb948181f88ffb937ced063fe29d3548cbfbdfd3b436363990e00b0945be1

Aliases

arxiv: 1303.5846 · arxiv_version: 1303.5846v5 · doi: 10.48550/arxiv.1303.5846 · pith_short_12: ILN3SSAYD6EP · pith_short_16: ILN3SSAYD6EP7OJX · pith_short_8: ILN3SSAY

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/ILN3SSAYD6EP7OJXZ3IGH7RJ2N \
  | 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: 42dbb948181f88ffb937ced063fe29d3548cbfbdfd3b436363990e00b0945be1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f57b9f8407f5bf8bf339c8df96171530f7f3dc831ffc285f7e9d9bb5a9c9fc6",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-23T13:34:03Z",
    "title_canon_sha256": "408acab4d8e8c61e9dd3906292d9d8a2b2830ebde215f0f07a7702c21ff2f59f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5846",
    "kind": "arxiv",
    "version": 5
  }
}