Pith Number

pith:JIBPCHYB

pith:2016:JIBPCHYB7A6AU3VY7QTKLAK4SA

not attested not anchored not stored refs pending

Continuous Cocycle Superrigidity for Shifts and Groups with One End

Nhan-Phu Chung, Yongle Jiang

arxiv:1603.00114 v2 · 2016-03-01 · math.DS · 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{JIBPCHYB7A6AU3VY7QTKLAK4SA}

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	2026-05-18T00:33:32.592632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a02f11f01f83c0a6eb8fc26a5815c9019e8257bd8c27c6064e86970392b8f2a

Aliases

arxiv: 1603.00114 · arxiv_version: 1603.00114v2 · doi: 10.48550/arxiv.1603.00114 · pith_short_12: JIBPCHYB7A6A · pith_short_16: JIBPCHYB7A6AU3VY · pith_short_8: JIBPCHYB

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/JIBPCHYB7A6AU3VY7QTKLAK4SA \
  | 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: 4a02f11f01f83c0a6eb8fc26a5815c9019e8257bd8c27c6064e86970392b8f2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4546e4e6bdf4762fcbbc75010435093681e040bb38671d4103378440936b791b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-03-01T02:18:15Z",
    "title_canon_sha256": "73cb45b2b6ebf357abc51918c4617082e0a09f6c3e97d8f8e791c52e1dfd9cec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00114",
    "kind": "arxiv",
    "version": 2
  }
}