Pith Number

pith:NMT5VO5H

pith:2012:NMT5VO5HWXWAJSD2EV2YW4ATBH

not attested not anchored not stored refs pending

The tracial Rokhlin property is generic

N. Christopher Phillips

arxiv:1209.3859 v1 · 2012-09-18 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NMT5VO5HWXWAJSD2EV2YW4ATBH}

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	2026-05-18T03:45:22.357896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b27dabba7b5ec04c87a25758b701309c25f124dc71b26cc4397f75072b5cdaa

Aliases

arxiv: 1209.3859 · arxiv_version: 1209.3859v1 · doi: 10.48550/arxiv.1209.3859 · pith_short_12: NMT5VO5HWXWA · pith_short_16: NMT5VO5HWXWAJSD2 · pith_short_8: NMT5VO5H

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/NMT5VO5HWXWAJSD2EV2YW4ATBH \
  | 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: 6b27dabba7b5ec04c87a25758b701309c25f124dc71b26cc4397f75072b5cdaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd3ef119fb7a6422d6b0404c20c4696730126117919cec8fb6806d76560454f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-09-18T06:42:01Z",
    "title_canon_sha256": "f381b8a272f785c6f46502cabc89552d63d10d9d67012b31e33015b295fbd7a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3859",
    "kind": "arxiv",
    "version": 1
  }
}