Pith Number

pith:VAGNKR3N

pith:2016:VAGNKR3NKG4W4PXMANOPM6NR66

not attested not anchored not stored refs pending

Combinatorial degenerations of surfaces and Calabi--Yau threefolds

Bruno Chiarellotto, Christopher Lazda

arxiv:1602.04063 v2 · 2016-02-12 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VAGNKR3NKG4W4PXMANOPM6NR66}

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	2026-05-18T00:52:34.387602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a80cd5476d51b96e3eec035cf679b1f784f8a89f86480f9a189a733dc7d8ac4d

Aliases

arxiv: 1602.04063 · arxiv_version: 1602.04063v2 · doi: 10.48550/arxiv.1602.04063 · pith_short_12: VAGNKR3NKG4W · pith_short_16: VAGNKR3NKG4W4PXM · pith_short_8: VAGNKR3N

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/VAGNKR3NKG4W4PXMANOPM6NR66 \
  | 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: a80cd5476d51b96e3eec035cf679b1f784f8a89f86480f9a189a733dc7d8ac4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae33abfd279979217f2c94c4375db1445cb843ed5996e0ec73f29e6aad862a6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-12T14:19:03Z",
    "title_canon_sha256": "841f005048a1770f6f1221953b2e7a5a4e40bab992f957bb336363d8e1a766dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04063",
    "kind": "arxiv",
    "version": 2
  }
}