Pith Number

pith:UU37TOHV

pith:2018:UU37TOHVQ6SRMHBSS6OTRDKEKF

not attested not anchored not stored refs pending

Reconstructing directed graphs from generalised gauge actions on their Toeplitz algebras

Aidan Sims, David Robertson, Marcelo Laca, Nathan Brownlowe

arxiv:1812.08903 v1 · 2018-12-21 · 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{UU37TOHVQ6SRMHBSS6OTRDKEKF}

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	2026-05-17T23:57:45.947990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a537f9b8f587a5161c32979d388d44514a5802c5e1e2db5bca5e992e508bf4bc

Aliases

arxiv: 1812.08903 · arxiv_version: 1812.08903v1 · doi: 10.48550/arxiv.1812.08903 · pith_short_12: UU37TOHVQ6SR · pith_short_16: UU37TOHVQ6SRMHBS · pith_short_8: UU37TOHV

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/UU37TOHVQ6SRMHBSS6OTRDKEKF \
  | 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: a537f9b8f587a5161c32979d388d44514a5802c5e1e2db5bca5e992e508bf4bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cb874eefbdbc1a0375d553666a7c3ca686bb7996f476ef79802d2dfbf704a3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-12-21T01:08:34Z",
    "title_canon_sha256": "ac22a82a829066a1ce8f85b50c194102ce94d1f7b164da6dd53f6e38b28d8873"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08903",
    "kind": "arxiv",
    "version": 1
  }
}