Pith Number

pith:IIPCUELO

pith:2005:IIPCUELODDUL5LFVVXYLINM6XK

not attested not anchored not stored refs pending

Averages along cubes for not necessarily commuting measure preserving transformations

Idris Assani

arxiv:math/0511062 v1 · 2005-11-02 · 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{IIPCUELODDUL5LFVVXYLINM6XK}

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	2026-05-18T01:05:22.911502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

421e2a116e18e8beacb5adf0b4359eba9b9d69682a59bbc42c7d951f634e5180

Aliases

arxiv: math/0511062 · arxiv_version: math/0511062v1 · doi: 10.48550/arxiv.math/0511062 · pith_short_12: IIPCUELODDUL · pith_short_16: IIPCUELODDUL5LFV · pith_short_8: IIPCUELO

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/IIPCUELODDUL5LFVVXYLINM6XK \
  | 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: 421e2a116e18e8beacb5adf0b4359eba9b9d69682a59bbc42c7d951f634e5180

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ade10ecdcbcf792d2c7f4edf902b3a064c62ddaf762925e4afd5a9044a710aa",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2005-11-02T19:45:06Z",
    "title_canon_sha256": "3a38c48bd3de6a3a482e7c2b5919451d542d1e2147552b1645396c669b6c33b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511062",
    "kind": "arxiv",
    "version": 1
  }
}