Pith Number

pith:W64G2M6D

pith:2012:W64G2M6DN3GW4LPFTNQ5YZU6CL

not attested not anchored not stored refs pending

The Minimal Model Program for the Hilbert Scheme of Points on P^2 and Bridgeland Stability

Aaron Bertram, Daniele Arcara, Izzet Coskun, Jack Huizenga

arxiv:1203.0316 v1 · 2012-03-01 · 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{W64G2M6DN3GW4LPFTNQ5YZU6CL}

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	2026-05-18T04:01:01.228125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7b86d33c36ecd6e2de59b61dc669e12f880213d3d3c6d52b8545cbfd169b34a

Aliases

arxiv: 1203.0316 · arxiv_version: 1203.0316v1 · doi: 10.48550/arxiv.1203.0316 · pith_short_12: W64G2M6DN3GW · pith_short_16: W64G2M6DN3GW4LPF · pith_short_8: W64G2M6D

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/W64G2M6DN3GW4LPFTNQ5YZU6CL \
  | 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: b7b86d33c36ecd6e2de59b61dc669e12f880213d3d3c6d52b8545cbfd169b34a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1967fc4701244409d3bafbf0accf36cc7d4db403415e2afb2fa28c917bf21e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-01T21:25:07Z",
    "title_canon_sha256": "0f2633fbbd90908102fb2edf0898b47e21071012438b948710f0e4f8f9372749"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0316",
    "kind": "arxiv",
    "version": 1
  }
}