Pith Number

pith:NACMSBTS

pith:2012:NACMSBTSPST46YH7M3IGH3SNVZ

not attested not anchored not stored refs pending

A nice group structure on the orbit space of unimodular rows-II

Anjan Gupta, Anuradha Garge, Ravi A. Rao

arxiv:1211.6871 v2 · 2012-11-29 · 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{NACMSBTSPST46YH7M3IGH3SNVZ}

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	2026-05-18T03:37:18.696925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6804c906727ca7cf60ff66d063ee4dae598c0a954858dbdd188663664d69594f

Aliases

arxiv: 1211.6871 · arxiv_version: 1211.6871v2 · doi: 10.48550/arxiv.1211.6871 · pith_short_12: NACMSBTSPST4 · pith_short_16: NACMSBTSPST46YH7 · pith_short_8: NACMSBTS

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/NACMSBTSPST46YH7M3IGH3SNVZ \
  | 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: 6804c906727ca7cf60ff66d063ee4dae598c0a954858dbdd188663664d69594f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82f9e38993db642005b759201c3b185d35e4818a4b0cc16e681250763692d80c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-11-29T10:35:59Z",
    "title_canon_sha256": "2f421ae022eb9bd1760e60f5b3926d030f1ba0ff7a3e39c377796f8e4a1a2a62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6871",
    "kind": "arxiv",
    "version": 2
  }
}