Pith Number

pith:5PNTTVMQ

pith:2017:5PNTTVMQAWMVSHLLV66DTP3AV7

not attested not anchored not stored refs pending

Moduli of formal torsors

Fabio Tonini, Takehiko Yasuda

arxiv:1709.01705 v2 · 2017-09-06 · 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{5PNTTVMQAWMVSHLLV66DTP3AV7}

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.

Cited by

1 paper in Pith

Motivic integration over wild Deligne-Mumford stacks

Receipt and verification

First computed	2026-07-05T07:48:41.886927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebdb39d5900599591d6bafbc39bf60aff49109fc02e3762095d9095a0cfa122d

Aliases

arxiv: 1709.01705 · arxiv_version: 1709.01705v2 · doi: 10.48550/arxiv.1709.01705 · pith_short_12: 5PNTTVMQAWMV · pith_short_16: 5PNTTVMQAWMVSHLL · pith_short_8: 5PNTTVMQ

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/5PNTTVMQAWMVSHLLV66DTP3AV7 \
  | 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: ebdb39d5900599591d6bafbc39bf60aff49109fc02e3762095d9095a0cfa122d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dfef1c72db35d536f953da783a73d19baae4139bb5474a2e72f3340d7bcf865",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-09-06T08:04:23Z",
    "title_canon_sha256": "8d934456026c468a42340b2be4ac19518bfadd6ee4675bf529885248208bcdc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01705",
    "kind": "arxiv",
    "version": 2
  }
}