Pith Number

pith:GBNDZ5I7

pith:2015:GBNDZ5I7OSDM6YSQ7H2ZQQRUPW

not attested not anchored not stored refs pending

Automorphisms of blowups of threefolds being Fano or having Picard number $1$

Tuyen Trung Truong

arxiv:1501.01515 v1 · 2015-01-07 · math.AG · math.CV · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GBNDZ5I7OSDM6YSQ7H2ZQQRUPW}

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	2026-05-18T02:29:53.920833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

305a3cf51f7486cf6250f9f59842347da8c24e313cf1848453a751f821683f25

Aliases

arxiv: 1501.01515 · arxiv_version: 1501.01515v1 · doi: 10.48550/arxiv.1501.01515 · pith_short_12: GBNDZ5I7OSDM · pith_short_16: GBNDZ5I7OSDM6YSQ · pith_short_8: GBNDZ5I7

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/GBNDZ5I7OSDM6YSQ7H2ZQQRUPW \
  | 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: 305a3cf51f7486cf6250f9f59842347da8c24e313cf1848453a751f821683f25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "731adcbf828cce4f0600063cbe3104317aea349d83f06087b3dc2cd95a3b6475",
    "cross_cats_sorted": [
      "math.CV",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-01-07T15:19:50Z",
    "title_canon_sha256": "7fdf8f472a5c64599a385f4e85cad0cc2da18ca9c32744006adcf149ab721b8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01515",
    "kind": "arxiv",
    "version": 1
  }
}