Pith Number

pith:EJDAG4SN

pith:2018:EJDAG4SNDP44Y5DZU6AWWLW2ML

not attested not anchored not stored refs pending

$p$-bases and differential operators on varieties defined over a non-perfect field

Carlos Abad

arxiv:1801.08458 v1 · 2018-01-25 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EJDAG4SNDP44Y5DZU6AWWLW2ML}

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.

Receipt and verification

First computed	2026-05-18T00:25:06.282918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

224603724d1bf9cc7479a7816b2eda62e874d8ce24656be43c9daad381f396e5

Aliases

arxiv: 1801.08458 · arxiv_version: 1801.08458v1 · doi: 10.48550/arxiv.1801.08458 · pith_short_12: EJDAG4SNDP44 · pith_short_16: EJDAG4SNDP44Y5DZ · pith_short_8: EJDAG4SN

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/EJDAG4SNDP44Y5DZU6AWWLW2ML \
  | 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: 224603724d1bf9cc7479a7816b2eda62e874d8ce24656be43c9daad381f396e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65a0934531459aa48f71b1ad87091a763998c06f85d0f4c3b5f8a59099aca36a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-01-25T15:49:13Z",
    "title_canon_sha256": "446a1a8c8360929e3879ad1e77b1844846adced53296f8ef6c15ebfb352a9383"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08458",
    "kind": "arxiv",
    "version": 1
  }
}