Pith Number

pith:GSRIZ4XR

pith:2014:GSRIZ4XRKVAE3U76YIBMBCQADU

not attested not anchored not stored refs pending

Commutative algebraic groups and $p$-adic linear forms

Clemens Fuchs, Duc Hiep Pham

arxiv:1404.4209 v2 · 2014-04-16 · 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{GSRIZ4XRKVAE3U76YIBMBCQADU}

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	2026-05-18T01:22:19.129443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34a28cf2f155404dd3fec202c08a001d1756ea52af88b4a37d514ee6a0d5fc20

Aliases

arxiv: 1404.4209 · arxiv_version: 1404.4209v2 · doi: 10.48550/arxiv.1404.4209 · pith_short_12: GSRIZ4XRKVAE · pith_short_16: GSRIZ4XRKVAE3U76 · pith_short_8: GSRIZ4XR

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/GSRIZ4XRKVAE3U76YIBMBCQADU \
  | 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: 34a28cf2f155404dd3fec202c08a001d1756ea52af88b4a37d514ee6a0d5fc20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af4451315d0a26d585b8e52695437502c5d0b6765667d2b5e425abe9a7721b5f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-04-16T11:23:23Z",
    "title_canon_sha256": "7dc51f0b25b73747fb952ca437e597bead8c8be702753b8dd943325812bde40f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4209",
    "kind": "arxiv",
    "version": 2
  }
}