Pith Number

pith:RZ662WXB

pith:2017:RZ662WXBEVUUBUCVB62PWKKLDN

not attested not anchored not stored refs pending

Threefold extremal contractions of type (IIA), II

Shigefumi Mori, Yuri Prokhorov

arxiv:1707.05047 v2 · 2017-07-17 · 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{RZ662WXBEVUUBUCVB62PWKKLDN}

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	2026-05-18T00:24:35.768445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e7ded5ae1256940d0550fb4fb294b1b4d18cf28ec8d59274fc255222a42dfdb

Aliases

arxiv: 1707.05047 · arxiv_version: 1707.05047v2 · doi: 10.48550/arxiv.1707.05047 · pith_short_12: RZ662WXBEVUU · pith_short_16: RZ662WXBEVUUBUCV · pith_short_8: RZ662WXB

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/RZ662WXBEVUUBUCVB62PWKKLDN \
  | 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: 8e7ded5ae1256940d0550fb4fb294b1b4d18cf28ec8d59274fc255222a42dfdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fd737a0befaaa60d34d83ae97afb3e7e917c735a1759db3223bf10db798dfc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-07-17T09:06:39Z",
    "title_canon_sha256": "08aa96f2911fdb6dc11a898063fa9853383bccaaebb6fc3f0be89cce8d98993c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05047",
    "kind": "arxiv",
    "version": 2
  }
}