Pith Number

pith:OT5A64JX

pith:2010:OT5A64JXEZSCAXMASBDU6TRYV5

not attested not anchored not stored refs pending

Derivations, generic formal fibers and bad Noetherian rings

Bruce Olberding

arxiv:1009.3957 v2 · 2010-09-20 · 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{OT5A64JXEZSCAXMASBDU6TRYV5}

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	2026-05-18T03:57:37.370844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74fa0f71372664205d8090474f4e38af6a65abb6daff98a96f425a9037e766db

Aliases

arxiv: 1009.3957 · arxiv_version: 1009.3957v2 · doi: 10.48550/arxiv.1009.3957 · pith_short_12: OT5A64JXEZSC · pith_short_16: OT5A64JXEZSCAXMA · pith_short_8: OT5A64JX

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/OT5A64JXEZSCAXMASBDU6TRYV5 \
  | 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: 74fa0f71372664205d8090474f4e38af6a65abb6daff98a96f425a9037e766db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c5f7307d3c43f002d72ebde33c62ad5d3a68fd3e4a3b7bae815b5219c228d4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-09-20T21:36:18Z",
    "title_canon_sha256": "ea996c823f9f3aff51186050be3032392380a52e84e88e9ae0a3762ce3a32a64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3957",
    "kind": "arxiv",
    "version": 2
  }
}