Pith Number

pith:XQNYF6S5

pith:2014:XQNYF6S5OQP4UBJEFWBHUTEDII

not attested not anchored not stored refs pending

Subintegrality, Invertible Modules and Laurent Polynomial Extensions

Vivek Sadhu

arxiv:1404.6498 v2 · 2014-04-25 · 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{XQNYF6S5OQP4UBJEFWBHUTEDII}

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	2026-05-18T02:38:59.405248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc1b82fa5d741fca05242d827a4c8342138767a889e836b100bb5cbcaa69171d

Aliases

arxiv: 1404.6498 · arxiv_version: 1404.6498v2 · doi: 10.48550/arxiv.1404.6498 · pith_short_12: XQNYF6S5OQP4 · pith_short_16: XQNYF6S5OQP4UBJE · pith_short_8: XQNYF6S5

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/XQNYF6S5OQP4UBJEFWBHUTEDII \
  | 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: bc1b82fa5d741fca05242d827a4c8342138767a889e836b100bb5cbcaa69171d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "158759d94b51fb0ae4602552906fc40d3b8107d6f42232f798c9ab131a77c81f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-04-25T18:37:53Z",
    "title_canon_sha256": "32550c00310634fb7055e9c137d5299f428c42206f34ef3e1b437f91da7a7c73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6498",
    "kind": "arxiv",
    "version": 2
  }
}