Pith Number

pith:IZVU7HAC

pith:2014:IZVU7HAC2WFWAQAQAOYPJB7Q4V

not attested not anchored not stored refs pending

Extendability of quadratic modules over a polynomial extension of an equicharacteristic regular local ring

A. A. Ambily, Ravi A. Rao

arxiv:1401.0809 v1 · 2014-01-04 · math.AC · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZVU7HAC2WFWAQAQAOYPJB7Q4V}

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	2026-05-18T00:48:37.767014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

466b4f9c02d58b60401003b0f487f0e567b18692435f77302333250d76074009

Aliases

arxiv: 1401.0809 · arxiv_version: 1401.0809v1 · doi: 10.48550/arxiv.1401.0809 · pith_short_12: IZVU7HAC2WFW · pith_short_16: IZVU7HAC2WFWAQAQ · pith_short_8: IZVU7HAC

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/IZVU7HAC2WFWAQAQAOYPJB7Q4V \
  | 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: 466b4f9c02d58b60401003b0f487f0e567b18692435f77302333250d76074009

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca87d7eade017c581bed8d03c82d97a1b4b3478bd526da1e39326032f073afcc",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-01-04T13:28:40Z",
    "title_canon_sha256": "355470cfbf0a7f06b2ce0bddf44ded645e0450cecfe7aaa588d268f2adcb4ed6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0809",
    "kind": "arxiv",
    "version": 1
  }
}