Pith Number

pith:SWO5LUHO

pith:2016:SWO5LUHOYJE6B7TBJJBTH53GI7

not attested not anchored not stored refs pending

Ergodic Theory and the Structure of Noncommutative Space-Time

Charles H.-T. Wang, James Moffat, Teodora Oniga

arxiv:1612.02782 v1 · 2016-12-06 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SWO5LUHOYJE6B7TBJJBTH53GI7}

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	2026-05-18T00:38:09.101045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

959dd5d0eec249e0fe614a4333f76647fb25d7457123ae390e4d226c77622605

Aliases

arxiv: 1612.02782 · arxiv_version: 1612.02782v1 · doi: 10.48550/arxiv.1612.02782 · pith_short_12: SWO5LUHOYJE6 · pith_short_16: SWO5LUHOYJE6B7TB · pith_short_8: SWO5LUHO

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/SWO5LUHOYJE6B7TBJJBTH53GI7 \
  | 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: 959dd5d0eec249e0fe614a4333f76647fb25d7457123ae390e4d226c77622605

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ecce10ddd10374c212d2580f436f1a6fd995c4435c4946a239867e846d74270",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-12-06T15:58:15Z",
    "title_canon_sha256": "7af4a76e0ab24ae46e8da2d4a860a3f02a72d6019b958f0a79993a4821408224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02782",
    "kind": "arxiv",
    "version": 1
  }
}