Pith Number

pith:BVHZZF7Y

pith:2016:BVHZZF7YZG2AECI7PLZQLJAVVL

not attested not anchored not stored refs pending

Free Group Rings and Derived Functors

Inder Bir S. Passi, Roman Mikhailov

arxiv:1605.08196 v1 · 2016-05-26 · math.GR · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BVHZZF7YZG2AECI7PLZQLJAVVL}

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	2026-05-18T01:13:36.750704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d4f9c97f8c9b402091f7af305a415aaf6c7a06651d729b2121972f840d565a2

Aliases

arxiv: 1605.08196 · arxiv_version: 1605.08196v1 · doi: 10.48550/arxiv.1605.08196 · pith_short_12: BVHZZF7YZG2A · pith_short_16: BVHZZF7YZG2AECI7 · pith_short_8: BVHZZF7Y

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/BVHZZF7YZG2AECI7PLZQLJAVVL \
  | 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: 0d4f9c97f8c9b402091f7af305a415aaf6c7a06651d729b2121972f840d565a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36a719910e100b9f9ce87095397d9621d4e0f11bd0192995a2424a60831caa36",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-05-26T09:01:36Z",
    "title_canon_sha256": "2469b833d40cc2b607fd37f836fedb1c78f6a20ce5fb1c745d3c80a26a502553"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08196",
    "kind": "arxiv",
    "version": 1
  }
}