Pith Number

pith:CLTCG6II

pith:2025:CLTCG6IIOBBU2BR2CB6CSPJWY5

not attested not anchored not stored refs pending

Compact approximation and descent for algebraic stacks

Alicia Lamarche, Fei Peng, Jack Hall, Pat Lank

arxiv:2504.21125 v1 · 2025-04-29 · 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{CLTCG6IIOBBU2BR2CB6CSPJWY5}

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

2 papers in Pith

Localizing subcategories for algebraic stacks

Remarks on diagonal dimension for algebraic stacks

Receipt and verification

First computed	2026-07-05T10:55:57.693517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12e623790870434d063a107c293d36c740b197528eb06c9b589ad5dda123a93a

Aliases

arxiv: 2504.21125 · arxiv_version: 2504.21125v1 · doi: 10.48550/arxiv.2504.21125 · pith_short_12: CLTCG6IIOBBU · pith_short_16: CLTCG6IIOBBU2BR2 · pith_short_8: CLTCG6II

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/CLTCG6IIOBBU2BR2CB6CSPJWY5 \
  | 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: 12e623790870434d063a107c293d36c740b197528eb06c9b589ad5dda123a93a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94ebc25273d5088f98bb6777cbd296b05353e7afa76e4131dd942bd14e6b4384",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-04-29T19:11:35Z",
    "title_canon_sha256": "1d7efdfb6b975d1e9261ec7be9e286cc2f1bae0f123752ae2101cb859658c3ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.21125",
    "kind": "arxiv",
    "version": 1
  }
}