Pith Number

pith:IPSMWVIP

pith:2018:IPSMWVIPTROG2YSZK3YPIZQ46J

not attested not anchored not stored refs pending

Quillen--Suslin Theory; Revisited over Graded Rings

Manish Kumar Singh, Rabeya Basu

arxiv:1811.00725 v1 · 2018-11-02 · 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{IPSMWVIPTROG2YSZK3YPIZQ46J}

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	2026-05-18T00:01:42.361683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43e4cb550f9c5c6d625956f0f4661cf24c25030cbe918f840d725480657f9df6

Aliases

arxiv: 1811.00725 · arxiv_version: 1811.00725v1 · doi: 10.48550/arxiv.1811.00725 · pith_short_12: IPSMWVIPTROG · pith_short_16: IPSMWVIPTROG2YSZ · pith_short_8: IPSMWVIP

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/IPSMWVIPTROG2YSZK3YPIZQ46J \
  | 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: 43e4cb550f9c5c6d625956f0f4661cf24c25030cbe918f840d725480657f9df6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1b638b3a29fb394fb0442d49feaaf66dd3d22df0ff51078db1cbe5a3aa1df8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2018-11-02T03:41:13Z",
    "title_canon_sha256": "4194a1bd066e635a6f7b7b60c60f44ff13e4e1f184e1cf496db9efe97d883cfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.00725",
    "kind": "arxiv",
    "version": 1
  }
}