Pith Number

pith:HCGZAH5I

pith:2012:HCGZAH5IPWBFH6EM5RP2VCCVER

not attested not anchored not stored refs pending

Trace Asymptotics for C*-Algebras from Smale Spaces

D. Brady Killough, Ian F. Putnam

arxiv:1208.5013 v1 · 2012-08-24 · math.DS · 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{HCGZAH5IPWBFH6EM5RP2VCCVER}

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	2026-05-18T03:47:52.074898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

388d901fa87d8253f88cec5faa885524486ba6f4fd4733dccbfbc7cc4d0cf043

Aliases

arxiv: 1208.5013 · arxiv_version: 1208.5013v1 · doi: 10.48550/arxiv.1208.5013 · pith_short_12: HCGZAH5IPWBF · pith_short_16: HCGZAH5IPWBFH6EM · pith_short_8: HCGZAH5I

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/HCGZAH5IPWBFH6EM5RP2VCCVER \
  | 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: 388d901fa87d8253f88cec5faa885524486ba6f4fd4733dccbfbc7cc4d0cf043

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "689765b065f85531a3e2b88e54ac6871849d5ea4f97b88daa4c8d595a521fdc8",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-08-24T17:31:00Z",
    "title_canon_sha256": "e16b26b94bc25d28e66ef31d8efde7b90dc9b1ba5fc90ec7f48b0e5c810b5b72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5013",
    "kind": "arxiv",
    "version": 1
  }
}