Pith Number

pith:PTHRTYHN

pith:2017:PTHRTYHNEF2PMDO767AEGGMOZR

not attested not anchored not stored refs pending

Verra fourfolds, twisted sheaves and the last involution

Chiara Camere, Giovanni Mongardi, Grzegorz Kapustka, Michal Kapustka

arxiv:1706.08955 v3 · 2017-06-27 · 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{PTHRTYHNEF2PMDO767AEGGMOZR}

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	2026-05-18T00:29:30.167580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ccf19e0ed2174f60ddff7c043198ecc4ba337a8162885420e92578715aff54a

Aliases

arxiv: 1706.08955 · arxiv_version: 1706.08955v3 · doi: 10.48550/arxiv.1706.08955 · pith_short_12: PTHRTYHNEF2P · pith_short_16: PTHRTYHNEF2PMDO7 · pith_short_8: PTHRTYHN

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/PTHRTYHNEF2PMDO767AEGGMOZR \
  | 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: 7ccf19e0ed2174f60ddff7c043198ecc4ba337a8162885420e92578715aff54a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d1709f95b8844030861dfedf495bca1cf0cea19c894a1a71cbc6dd12c7e77c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-06-27T17:37:50Z",
    "title_canon_sha256": "f0489f45a9ae09d0e60585d68723ba503142a2f3a3477ca3bc02d42a0e3ed14a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08955",
    "kind": "arxiv",
    "version": 3
  }
}