Pith Number

pith:VHGKLRHU

pith:2017:VHGKLRHUXD5HLDJU6CFM4ZNECU

not attested not anchored not stored refs pending

Wavelets and spectral triples for higher-rank graphs

Antoine Julien, Carla Farsi, Elizabeth Gillaspy, Judith Packer, Sooran Kang

arxiv:1701.05321 v1 · 2017-01-19 · 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{VHGKLRHUXD5HLDJU6CFM4ZNECU}

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	2026-05-18T00:52:30.254260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9cca5c4f4b8fa758d34f08ace65a41516e7fd594cc545baa3c2d475df72e6e3

Aliases

arxiv: 1701.05321 · arxiv_version: 1701.05321v1 · doi: 10.48550/arxiv.1701.05321 · pith_short_12: VHGKLRHUXD5H · pith_short_16: VHGKLRHUXD5HLDJU · pith_short_8: VHGKLRHU

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/VHGKLRHUXD5HLDJU6CFM4ZNECU \
  | 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: a9cca5c4f4b8fa758d34f08ace65a41516e7fd594cc545baa3c2d475df72e6e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ff07572b516d6d08d7704fdacceaea0414218b5835eb93d9dee0a0e2eed8b9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-01-19T07:38:23Z",
    "title_canon_sha256": "d8f0eb449b51dbee589cc60cfe3c3bdb94439dafe77690a4cf654c6e0c55f360"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05321",
    "kind": "arxiv",
    "version": 1
  }
}