Pith Number

pith:I6YTVL6H

pith:2023:I6YTVL6HC3ID4SSVMLN4CPXU6L

not attested not anchored not stored refs pending

Picard group of connected affine algebraic group

Vladimir L. Popov

arxiv:2302.13374 v2 · 2023-02-26 · 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{I6YTVL6HC3ID4SSVMLN4CPXU6L}

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

A refinement of the coherence conjecture of Pappas and Rapoport

Receipt and verification

First computed	2026-07-05T05:56:16.174596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47b13aafc716d03e4a5562dbc13ef4f2d3813d1e630baea14336cf4861b4d4c6

Aliases

arxiv: 2302.13374 · arxiv_version: 2302.13374v2 · doi: 10.48550/arxiv.2302.13374 · pith_short_12: I6YTVL6HC3ID · pith_short_16: I6YTVL6HC3ID4SSV · pith_short_8: I6YTVL6H

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/I6YTVL6HC3ID4SSVMLN4CPXU6L \
  | 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: 47b13aafc716d03e4a5562dbc13ef4f2d3813d1e630baea14336cf4861b4d4c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20e063f28cfedd8c04b84a681114d7e13bd6bbd47d30c0a24393d934dc7e2be1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-02-26T18:21:36Z",
    "title_canon_sha256": "68a3d805f69f923de2da2bf0d6f6be3b4c32696cce9337e645294e00afebc897"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.13374",
    "kind": "arxiv",
    "version": 2
  }
}