Pith Number

pith:BGMUE2OH

pith:2018:BGMUE2OHRCPQRYHWOBSPLYMI5B

not attested not anchored not stored refs pending

Phase transition in the CAR algebra

Klaus Thomsen

arxiv:1810.01828 v3 · 2018-10-03 · 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{BGMUE2OHRCPQRYHWOBSPLYMI5B}

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	2026-05-18T00:00:29.573142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09994269c7889f08e0f67064f5e188e84fd1b815b6ba707bbb42c12fc3780016

Aliases

arxiv: 1810.01828 · arxiv_version: 1810.01828v3 · doi: 10.48550/arxiv.1810.01828 · pith_short_12: BGMUE2OHRCPQ · pith_short_16: BGMUE2OHRCPQRYHW · pith_short_8: BGMUE2OH

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/BGMUE2OHRCPQRYHWOBSPLYMI5B \
  | 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: 09994269c7889f08e0f67064f5e188e84fd1b815b6ba707bbb42c12fc3780016

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5218804cf39f50b8d7a2a5e8a605f4e175f106808fbc7d4a787b83fa6943d16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-10-03T16:26:06Z",
    "title_canon_sha256": "653bc909d3a06da320648e5a7993a69b0cee75a7d2d64c7aa34422869995a6fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01828",
    "kind": "arxiv",
    "version": 3
  }
}