Pith Number

pith:NYPXU2C5

pith:2017:NYPXU2C5DMRBBCUZ4Q233J3SP2

not attested not anchored not stored refs pending

On the structure of affine flat group schemes over discrete valuation rings

Jo\~ao Pedro P. dos Santos, Nguyen Dai Duong, Phung Ho Hai

arxiv:1701.06518 v2 · 2017-01-23 · 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{NYPXU2C5DMRBBCUZ4Q233J3SP2}

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	2026-05-17T23:45:56.998295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e1f7a685d1b22108a99e435bda7727ea018440f26e155a9b43c8ee4062396f1

Aliases

arxiv: 1701.06518 · arxiv_version: 1701.06518v2 · doi: 10.48550/arxiv.1701.06518 · pith_short_12: NYPXU2C5DMRB · pith_short_16: NYPXU2C5DMRBBCUZ · pith_short_8: NYPXU2C5

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/NYPXU2C5DMRBBCUZ4Q233J3SP2 \
  | 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: 6e1f7a685d1b22108a99e435bda7727ea018440f26e155a9b43c8ee4062396f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b24ab5049ed0de69bcc10f804cb991535549edbf452828aec0ffa5b299edb188",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-01-23T17:35:51Z",
    "title_canon_sha256": "0bbe707b4c709a73f843326b545fb93e6ed32d53e19b8fdf22d75ebf7132afcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06518",
    "kind": "arxiv",
    "version": 2
  }
}