Pith Number

pith:VARCJU5G

pith:2021:VARCJU5G7NGD5ARFLGCODYISBW

not attested not anchored not stored refs pending

A motivic change of variables formula for Artin stacks

Jeremy Usatine, Matthew Satriano

arxiv:2109.09800 v1 · 2021-09-20 · 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{VARCJU5G7NGD5ARFLGCODYISBW}

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

Logarithmic resolution via multi-weighted blow-ups

Receipt and verification

First computed	2026-07-05T03:15:54.705068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a82224d3a6fb4c3e82255984e1e1120d8ff84a83334ec3835fb2b36a5de36d83

Aliases

arxiv: 2109.09800 · arxiv_version: 2109.09800v1 · doi: 10.48550/arxiv.2109.09800 · pith_short_12: VARCJU5G7NGD · pith_short_16: VARCJU5G7NGD5ARF · pith_short_8: VARCJU5G

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/VARCJU5G7NGD5ARFLGCODYISBW \
  | 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: a82224d3a6fb4c3e82255984e1e1120d8ff84a83334ec3835fb2b36a5de36d83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c1f1ed0dbf38e114b18417f633fad6ef9b254aff655b3acc50671edd46af38c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-09-20T19:17:37Z",
    "title_canon_sha256": "82fe35d784e97329018d6246328c07b5a8822708fccae42303e4fe5a89e67df2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.09800",
    "kind": "arxiv",
    "version": 1
  }
}