Pith Number

pith:CRZ64PVF

pith:2011:CRZ64PVF3PRJCKAQHH6X43QKAK

not attested not anchored not stored refs pending

A support theorem for Hilbert schemes of planar curves

Luca Migliorini, Vivek Shende

arxiv:1107.2355 v2 · 2011-07-12 · 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{CRZ64PVF3PRJCKAQHH6X43QKAK}

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	2026-05-18T01:34:36.214567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1473ee3ea5dbe291281039fd7e6e0a02944c6f1d9668e9464d225609711fae8a

Aliases

arxiv: 1107.2355 · arxiv_version: 1107.2355v2 · doi: 10.48550/arxiv.1107.2355 · pith_short_12: CRZ64PVF3PRJ · pith_short_16: CRZ64PVF3PRJCKAQ · pith_short_8: CRZ64PVF

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/CRZ64PVF3PRJCKAQHH6X43QKAK \
  | 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: 1473ee3ea5dbe291281039fd7e6e0a02944c6f1d9668e9464d225609711fae8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2216b47ee2a2b3b3f25419520a9b4dc3acaf747a7da2d4859c147406e3307435",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-12T17:26:18Z",
    "title_canon_sha256": "db5326f7cd9df361d0be5a87279d43976d61fad202fb497c01f89e180185fb9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2355",
    "kind": "arxiv",
    "version": 2
  }
}