Pith Number

pith:JVNEO2YH

pith:2014:JVNEO2YH2PBPMTA2SPJ277P77G

not attested not anchored not stored refs pending

The Ultraproducts of Quasirandom Groups

Yilong Yang

arxiv:1405.6276 v3 · 2014-05-24 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JVNEO2YH2PBPMTA2SPJ277P77G}

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	2026-05-18T01:00:54.208630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d5a476b07d3c2f64c1a93d3affdfff9ac37c8482c76453b1055d32b73b5549e

Aliases

arxiv: 1405.6276 · arxiv_version: 1405.6276v3 · doi: 10.48550/arxiv.1405.6276 · pith_short_12: JVNEO2YH2PBP · pith_short_16: JVNEO2YH2PBPMTA2 · pith_short_8: JVNEO2YH

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/JVNEO2YH2PBPMTA2SPJ277P77G \
  | 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: 4d5a476b07d3c2f64c1a93d3affdfff9ac37c8482c76453b1055d32b73b5549e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31e7e3c66c9fa8d1bac60373f8a40f6435f110b86f80fab3ff60128f17a8db3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-05-24T07:33:02Z",
    "title_canon_sha256": "fd62a56b098395302efa99ebcad759ae319c8e1e39bd4575ab4e9f04fc79a260"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6276",
    "kind": "arxiv",
    "version": 3
  }
}