Pith Number

pith:FRVKZTDC

pith:2016:FRVKZTDC4LBCQRYKYY7GQHW3YQ

not attested not anchored not stored refs pending

Narain Gupta's three normal subgroup problem and group homology

Inder Bir S. Passi, Roman Mikhailov

arxiv:1611.01313 v1 · 2016-11-04 · math.GR · 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{FRVKZTDC4LBCQRYKYY7GQHW3YQ}

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	2026-05-18T01:00:11.376285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c6aaccc62e2c228470ac63e681edbc421879a9e47aebbb32585e47a4bc36f32

Aliases

arxiv: 1611.01313 · arxiv_version: 1611.01313v1 · doi: 10.48550/arxiv.1611.01313 · pith_short_12: FRVKZTDC4LBC · pith_short_16: FRVKZTDC4LBCQRYK · pith_short_8: FRVKZTDC

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/FRVKZTDC4LBCQRYKYY7GQHW3YQ \
  | 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: 2c6aaccc62e2c228470ac63e681edbc421879a9e47aebbb32585e47a4bc36f32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "582fca84e4523ff6ff0df8840d839e31adddae6320199b33ad5e68266d420c94",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-11-04T10:34:19Z",
    "title_canon_sha256": "ded203fb9fec30e5d8a1a88610f13f7b358754c5632ac980d736208ce97fb26e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01313",
    "kind": "arxiv",
    "version": 1
  }
}