Pith Number

pith:QJHPIATJ

pith:2015:QJHPIATJRC4JRTDXF3X7LLGJIP

not attested not anchored not stored refs pending

Continous-trace $k$-graph $C^*$-algebras

Danny Crytser

arxiv:1512.02296 v2 · 2015-12-08 · 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{QJHPIATJRC4JRTDXF3X7LLGJIP}

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	2026-05-18T01:24:23.957958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

824ef4026988b898cc772eeff5acc943cd836e2b94c55df50681e0649183c9e3

Aliases

arxiv: 1512.02296 · arxiv_version: 1512.02296v2 · doi: 10.48550/arxiv.1512.02296 · pith_short_12: QJHPIATJRC4J · pith_short_16: QJHPIATJRC4JRTDX · pith_short_8: QJHPIATJ

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/QJHPIATJRC4JRTDXF3X7LLGJIP \
  | 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: 824ef4026988b898cc772eeff5acc943cd836e2b94c55df50681e0649183c9e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76a0a052cea5095713dcca527fec6d528b0d4c35ed9cbf4fe2306a9ecb265b2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-12-08T00:36:07Z",
    "title_canon_sha256": "556aa55bbe2a0d43afbfc57e4547e5369d5beb129279a9480db013cd7fa32d90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02296",
    "kind": "arxiv",
    "version": 2
  }
}