Pith Number

pith:T2JTJHBA

pith:2015:T2JTJHBARZ4N6APQJNIEWKRP4I

not attested not anchored not stored refs pending

Constructive General Neron Desingularization for one dimensional local rings

Dorin Popescu, Gerhard Pfister

arxiv:1512.08435 v2 · 2015-12-28 · 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{T2JTJHBARZ4N6APQJNIEWKRP4I}

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	2026-05-18T01:11:17.842821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e93349c208e78df01f04b504b2a2fe2295c48c5e702d99b7e7db62c48ee80fd

Aliases

arxiv: 1512.08435 · arxiv_version: 1512.08435v2 · doi: 10.48550/arxiv.1512.08435 · pith_short_12: T2JTJHBARZ4N · pith_short_16: T2JTJHBARZ4N6APQ · pith_short_8: T2JTJHBA

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/T2JTJHBARZ4N6APQJNIEWKRP4I \
  | 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: 9e93349c208e78df01f04b504b2a2fe2295c48c5e702d99b7e7db62c48ee80fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf25935f4c05560171b6ee3b2c4d6720df055af911c83054c5e0bbf775102d04",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-12-28T15:38:59Z",
    "title_canon_sha256": "aad9f801351c107c6ec76604736db37788574541ae6dad77efd846e8a0e6407d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08435",
    "kind": "arxiv",
    "version": 2
  }
}