Pith Number

pith:QBKPJV4S

pith:2014:QBKPJV4SBMYPLWQVWOBD7UB6NO

not attested not anchored not stored refs pending

Reconstructing decomposition subgroups in arithmetic fundamental groups using regulators

Alexander Ivanov

arxiv:1409.4909 v2 · 2014-09-17 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QBKPJV4SBMYPLWQVWOBD7UB6NO}

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	2026-05-18T01:36:25.893975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8054f4d7920b30f5da15b3823fd03e6ba91ef7428b134ecbb0f52bf2c125933c

Aliases

arxiv: 1409.4909 · arxiv_version: 1409.4909v2 · doi: 10.48550/arxiv.1409.4909 · pith_short_12: QBKPJV4SBMYP · pith_short_16: QBKPJV4SBMYPLWQV · pith_short_8: QBKPJV4S

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/QBKPJV4SBMYPLWQVWOBD7UB6NO \
  | 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: 8054f4d7920b30f5da15b3823fd03e6ba91ef7428b134ecbb0f52bf2c125933c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04d349a3addc58df945d0c4cf47650a25a038be7d3b7493ae1368f2cefd4285c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-17T09:17:59Z",
    "title_canon_sha256": "c98cfe8294039dcc6f2f6494dba8eb2927127945cabe0a75da43fd1221495150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4909",
    "kind": "arxiv",
    "version": 2
  }
}