Pith Number

pith:CWMPWKGW

pith:2016:CWMPWKGWURURTZED2YFZF4FYXG

not attested not anchored not stored refs pending

Sensitivity, proximal extension and higher order almost automorphy

Tao Yu, Xiangdong Ye

arxiv:1605.01119 v2 · 2016-05-04 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CWMPWKGWURURTZED2YFZF4FYXG}

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	2026-05-18T00:59:58.448770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1598fb28d6a46919e483d60b92f0b8b98df839d1b93f595110bafa7a068a2010

Aliases

arxiv: 1605.01119 · arxiv_version: 1605.01119v2 · doi: 10.48550/arxiv.1605.01119 · pith_short_12: CWMPWKGWURUR · pith_short_16: CWMPWKGWURURTZED · pith_short_8: CWMPWKGW

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/CWMPWKGWURURTZED2YFZF4FYXG \
  | 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: 1598fb28d6a46919e483d60b92f0b8b98df839d1b93f595110bafa7a068a2010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "387818505291abc3b92f506565a616182a691319c73d189f00034600c483a400",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-05-04T00:17:20Z",
    "title_canon_sha256": "a334d585258cd1b433fe13205539e7ab4ca0c9c9e6aa189206ad299f2ec2d0f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01119",
    "kind": "arxiv",
    "version": 2
  }
}