Pith Number

pith:ZKV5ZEWQ

pith:2014:ZKV5ZEWQLOT55JUTHKF3J7UFO7

not attested not anchored not stored refs pending

A pointwise cubic average for two commuting transformations

Sebasti\'an Donoso, Wenbo Sun

arxiv:1410.4887 v2 · 2014-10-17 · 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{ZKV5ZEWQLOT55JUTHKF3J7UFO7}

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	2026-05-18T00:51:07.669628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caabdc92d05ba7dea6933a8bb4fe8577cfdb6e681b19497dc2d2103405c84938

Aliases

arxiv: 1410.4887 · arxiv_version: 1410.4887v2 · doi: 10.48550/arxiv.1410.4887 · pith_short_12: ZKV5ZEWQLOT5 · pith_short_16: ZKV5ZEWQLOT55JUT · pith_short_8: ZKV5ZEWQ

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/ZKV5ZEWQLOT55JUTHKF3J7UFO7 \
  | 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: caabdc92d05ba7dea6933a8bb4fe8577cfdb6e681b19497dc2d2103405c84938

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b2a24385b9747d2a3b926fca69d78b780604a3c4f24cca6b712d97ff7ed00ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-10-17T23:30:41Z",
    "title_canon_sha256": "6932aa096c47565385ed4e3b66433bee6e1493c511729e22c634665f84ef9411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4887",
    "kind": "arxiv",
    "version": 2
  }
}