Pith Number

pith:J4VGPNZL

pith:2016:J4VGPNZLH3ZVRSB3X6YX7RI4IS

not attested not anchored not stored refs pending

A note on Torelli-type theorems for Gorenstein curves

Francesco Zucconi, Luca Rizzi

arxiv:1603.09080 v1 · 2016-03-30 · 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{J4VGPNZLH3ZVRSB3X6YX7RI4IS}

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	2026-05-18T01:18:03.758942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f2a67b72b3ef358c83bbfb17fc51c44ab3c8377d37d20e1d0df7022896c432b

Aliases

arxiv: 1603.09080 · arxiv_version: 1603.09080v1 · doi: 10.48550/arxiv.1603.09080 · pith_short_12: J4VGPNZLH3ZV · pith_short_16: J4VGPNZLH3ZVRSB3 · pith_short_8: J4VGPNZL

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/J4VGPNZLH3ZVRSB3X6YX7RI4IS \
  | 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: 4f2a67b72b3ef358c83bbfb17fc51c44ab3c8377d37d20e1d0df7022896c432b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc733a1abe076794635c8db0774d230332d3736f96193766afaac75ee33b9f61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-03-30T08:53:04Z",
    "title_canon_sha256": "124af8f7ea0aef26cbf7c6372ae9bda89693405726449dd511e060c11a03e6f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09080",
    "kind": "arxiv",
    "version": 1
  }
}