Pith Number

pith:JG2P4RHB

pith:2012:JG2P4RHBEB4B4FEA3ZLM5CCTQ5

not attested not anchored not stored refs pending

On automorphisms of blowups of $\mathbb{P}^3$

Tuyen Trung Truong

arxiv:1202.4224 v2 · 2012-02-20 · math.DS · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JG2P4RHBEB4B4FEA3ZLM5CCTQ5}

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	2026-05-18T03:37:53.069798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49b4fe44e120781e1480de56ce8853877139677f51d286f2e470afc71185c81c

Aliases

arxiv: 1202.4224 · arxiv_version: 1202.4224v2 · doi: 10.48550/arxiv.1202.4224 · pith_short_12: JG2P4RHBEB4B · pith_short_16: JG2P4RHBEB4B4FEA · pith_short_8: JG2P4RHB

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/JG2P4RHBEB4B4FEA3ZLM5CCTQ5 \
  | 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: 49b4fe44e120781e1480de56ce8853877139677f51d286f2e470afc71185c81c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "358c0c10494fbc79e839e63dab8b411b016add301486a7cce27a2449f1c0777a",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-02-20T05:07:21Z",
    "title_canon_sha256": "96ee07be831077ca2c2c3e5bb8d304c0fb7922ee21c21cebb9e39efa721f6e35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4224",
    "kind": "arxiv",
    "version": 2
  }
}