Pith Number

pith:OACO2E2X

pith:2015:OACO2E2XBUOA75KOMLUHZTEHTM

not attested not anchored not stored refs pending

Separable representations, KMS states, and wavelets for higher-rank graphs

Carla Farsi, Elizabeth Gillaspy, Judith Packer, Sooran Kang

arxiv:1505.00485 v2 · 2015-05-03 · 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{OACO2E2XBUOA75KOMLUHZTEHTM}

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	2026-05-18T02:09:53.951750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7004ed13570d1c0ff54e62e87ccc879b0558c6229fe7a6d41fbabe38d812cc2f

Aliases

arxiv: 1505.00485 · arxiv_version: 1505.00485v2 · doi: 10.48550/arxiv.1505.00485 · pith_short_12: OACO2E2XBUOA · pith_short_16: OACO2E2XBUOA75KO · pith_short_8: OACO2E2X

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/OACO2E2XBUOA75KOMLUHZTEHTM \
  | 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: 7004ed13570d1c0ff54e62e87ccc879b0558c6229fe7a6d41fbabe38d812cc2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f9d55b28b019dcd34c95310e4fcaf87a77cdc5f5aeedb02f0c06afb450f187c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-05-03T22:11:15Z",
    "title_canon_sha256": "ca609e74a98d7866086e52d2353c12ce189a0db70a00ecc8e8508e65f49ffdb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00485",
    "kind": "arxiv",
    "version": 2
  }
}