Pith Number

pith:VNUZLXMW

pith:2021:VNUZLXMWGESLMLBPKU6TCC2ENE

not attested not anchored not stored refs pending

On the degree of semi-stable reduction

S\'everin Philip

arxiv:2107.13613 v1 · 2021-07-28 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VNUZLXMWGESLMLBPKU6TCC2ENE}

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

IndicRAGSuite: Large-Scale Datasets and a Benchmark for Indian Language RAG Systems

Receipt and verification

First computed	2026-07-05T03:01:38.384428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab6995dd963124b62c2f553d310b446911e17d411bfdf44d4324c16c5af33a7c

Aliases

arxiv: 2107.13613 · arxiv_version: 2107.13613v1 · doi: 10.48550/arxiv.2107.13613 · pith_short_12: VNUZLXMWGESL · pith_short_16: VNUZLXMWGESLMLBP · pith_short_8: VNUZLXMW

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/VNUZLXMWGESLMLBPKU6TCC2ENE \
  | 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: ab6995dd963124b62c2f553d310b446911e17d411bfdf44d4324c16c5af33a7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cef230766f4d005fe741e775c42bd87d82952418cf9e7958c2d1bc1ee4c6c889",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-07-28T19:43:29Z",
    "title_canon_sha256": "0661566d116264fdc25781680652b97b471e530578aeb22bcb4763beb6b3635b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.13613",
    "kind": "arxiv",
    "version": 1
  }
}