Pith Number

pith:PAXT2XK5

pith:2022:PAXT2XK557OTWVJ62BBVKESMSM

not attested not anchored not stored refs pending

Differential modules and dormant opers of higher level

Yasuhiro Wakabayashi

arxiv:2201.11266 v1 · 2022-01-27 · 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{PAXT2XK557OTWVJ62BBVKESMSM}

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

Explicit computation of the generic degree of the generalized Verschiebung in rank two

Receipt and verification

First computed	2026-07-05T03:52:00.229622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

782f3d5d5defdd3b553ed04355124c930f32c2abd22269430af1ef9f6f3e1ad6

Aliases

arxiv: 2201.11266 · arxiv_version: 2201.11266v1 · doi: 10.48550/arxiv.2201.11266 · pith_short_12: PAXT2XK557OT · pith_short_16: PAXT2XK557OTWVJ6 · pith_short_8: PAXT2XK5

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/PAXT2XK557OTWVJ62BBVKESMSM \
  | 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: 782f3d5d5defdd3b553ed04355124c930f32c2abd22269430af1ef9f6f3e1ad6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00bc8aa55728d6fa866b1f2c5e6a36074bfe95f9a03f02be3ec381b8c842338f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-01-27T01:42:52Z",
    "title_canon_sha256": "ef900a5bb49e32bb7c1f548ff60a79d8322c54fb1c03992b3535659cf11bea89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.11266",
    "kind": "arxiv",
    "version": 1
  }
}