Pith Number

pith:AUUTDS47

pith:2012:AUUTDS472LUGPEX44E5WCCCP7M

not attested not anchored not stored refs pending

Reduction of Local Uniformization to the rank one case

Josnei Novacoski, Mark Spivakovsky

arxiv:1204.4751 v1 · 2012-04-20 · 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{AUUTDS472LUGPEX44E5WCCCP7M}

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	2026-05-18T00:56:52.725873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

052931cb9fd2e86792fce13b61084ffb2bae07e1db55f38bea52baa93e3f78f3

Aliases

arxiv: 1204.4751 · arxiv_version: 1204.4751v1 · doi: 10.48550/arxiv.1204.4751 · pith_short_12: AUUTDS472LUG · pith_short_16: AUUTDS472LUGPEX4 · pith_short_8: AUUTDS47

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/AUUTDS472LUGPEX44E5WCCCP7M \
  | 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: 052931cb9fd2e86792fce13b61084ffb2bae07e1db55f38bea52baa93e3f78f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fce82413f756777f590bef99b9a3be346b7b92dcf904238872bee1e57d17d106",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-04-20T21:33:51Z",
    "title_canon_sha256": "b6433d32277ce8e43593a1285734abea46bbe278ea5410fc575863c7560371a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4751",
    "kind": "arxiv",
    "version": 1
  }
}