Pith Number

pith:4MFH7TPR

pith:2011:4MFH7TPRXAWGRU4AJ5FIS64RQU

not attested not anchored not stored refs pending

A Schreier domain type condition II

Mihai Epure, Tiberiu Dumitrescu, Zaheer Ahmad

arxiv:1112.1236 v1 · 2011-12-06 · 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{4MFH7TPRXAWGRU4AJ5FIS64RQU}

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	2026-05-18T04:06:55.932658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e30a7fcdf1b82c68d3804f4a897b91850ea324fb7688a3ad976ec48edc24c297

Aliases

arxiv: 1112.1236 · arxiv_version: 1112.1236v1 · doi: 10.48550/arxiv.1112.1236 · pith_short_12: 4MFH7TPRXAWG · pith_short_16: 4MFH7TPRXAWGRU4A · pith_short_8: 4MFH7TPR

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/4MFH7TPRXAWGRU4AJ5FIS64RQU \
  | 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: e30a7fcdf1b82c68d3804f4a897b91850ea324fb7688a3ad976ec48edc24c297

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccd1980b889145a1ee2f2b548fc400a94a86bb76d519fe116703bbf860afa1c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-12-06T11:21:03Z",
    "title_canon_sha256": "c328b9950d86225be3341b6997b986daa078a348f518e7ac1e4658bddcc9d3ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1236",
    "kind": "arxiv",
    "version": 1
  }
}