Pith Number

pith:QIFMMZLN

pith:2019:QIFMMZLNJRURERVF4TFWFFHED2

not attested not anchored not stored refs pending

The elliptic Grothendieck-Springer resolution as a simultaneous log resolution of algebraic stacks

Dougal Davis

arxiv:1908.04140 v2 · 2019-08-12 · 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{QIFMMZLNJRURERVF4TFWFFHED2}

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	2026-07-05T00:59:02.682428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

820ac6656d4c691246a5e4cb6294e41ebdeb08f99b00ad438c94c3e0fb4ce9fe

Aliases

arxiv: 1908.04140 · arxiv_version: 1908.04140v2 · doi: 10.48550/arxiv.1908.04140 · pith_short_12: QIFMMZLNJRUR · pith_short_16: QIFMMZLNJRURERVF · pith_short_8: QIFMMZLN

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/QIFMMZLNJRURERVF4TFWFFHED2 \
  | 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: 820ac6656d4c691246a5e4cb6294e41ebdeb08f99b00ad438c94c3e0fb4ce9fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc38630483d0519a31af0b4d2a697945d19828471e25e5c15c65c2017a8598fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-12T13:25:12Z",
    "title_canon_sha256": "f79c58e2f7b33802961910a1bd046ccd64d3dfa4107805eaa832c986de3d50dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04140",
    "kind": "arxiv",
    "version": 2
  }
}