Pith Number

pith:NK6GXC7D

pith:2011:NK6GXC7DN3T3MVJR4WHWFDXJVB

not attested not anchored not stored refs pending

On quasi-Pr\"{u}fer and UM$t$ domains

Parviz Sahandi

arxiv:1109.5330 v1 · 2011-09-25 · 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{NK6GXC7DN3T3MVJR4WHWFDXJVB}

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	2026-05-18T04:12:19.999869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6abc6b8be36ee7b65531e58f628ee9a864c6189b329adea4cf78e6e80d850b1f

Aliases

arxiv: 1109.5330 · arxiv_version: 1109.5330v1 · doi: 10.48550/arxiv.1109.5330 · pith_short_12: NK6GXC7DN3T3 · pith_short_16: NK6GXC7DN3T3MVJR · pith_short_8: NK6GXC7D

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/NK6GXC7DN3T3MVJR4WHWFDXJVB \
  | 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: 6abc6b8be36ee7b65531e58f628ee9a864c6189b329adea4cf78e6e80d850b1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c9ffb264e6f46bedc38694807fef370c520a1764184fc4dff36a89ee7083a65",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-09-25T07:05:39Z",
    "title_canon_sha256": "d1f34b87a0265cf4572d675231221f4b4964f4e4595eb6436e6acc75c2c7c429"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5330",
    "kind": "arxiv",
    "version": 1
  }
}