Pith Number

pith:VEBKVGNF

pith:2016:VEBKVGNF4ZVRPUFJAITAB4JR3D

not attested not anchored not stored refs pending

An uniform General Neron Desingularization in dimension one

Asma Khalid, Dorin Popescu, Gerhard Pfister

arxiv:1612.03416 v2 · 2016-12-11 · math.AC · 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{VEBKVGNF4ZVRPUFJAITAB4JR3D}

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	2026-05-18T00:44:38.741673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a902aa99a5e66b17d0a9022600f131d8e7dd7e7ea23745631aa97cfd78fe4ddc

Aliases

arxiv: 1612.03416 · arxiv_version: 1612.03416v2 · doi: 10.48550/arxiv.1612.03416 · pith_short_12: VEBKVGNF4ZVR · pith_short_16: VEBKVGNF4ZVRPUFJ · pith_short_8: VEBKVGNF

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/VEBKVGNF4ZVRPUFJAITAB4JR3D \
  | 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: a902aa99a5e66b17d0a9022600f131d8e7dd7e7ea23745631aa97cfd78fe4ddc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "125a36790412f233223284ef85aaa5cf2814e76b2b567d7bdf779c253154cdf9",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-12-11T14:38:04Z",
    "title_canon_sha256": "7df0d02220f9c2da546eef86a343e12f2ef2dd627c63eb4bb6fb6e172202ef1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03416",
    "kind": "arxiv",
    "version": 2
  }
}