Pith Number

pith:U5KAZF7D

pith:2025:U5KAZF7DW4SCKXK243NS4WHXGR

not attested not anchored not stored refs pending

Reproducing Kernel Hilbert Spaces for Virtual Persistence Diagrams

Charles Fanning, Mehmet Aktas

arxiv:2512.07282 v2 · 2025-12-08 · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5KAZF7DW4SCKXK243NS4WHXGR}

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	2026-06-19T16:12:49.624931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7540c97e3b724255d5ae6db2e58f7346e8e17fa726252120c7d4f5d64a995c5

Aliases

arxiv: 2512.07282 · arxiv_version: 2512.07282v2 · doi: 10.48550/arxiv.2512.07282 · pith_short_12: U5KAZF7DW4SC · pith_short_16: U5KAZF7DW4SCKXK2 · pith_short_8: U5KAZF7D

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/U5KAZF7DW4SCKXK243NS4WHXGR \
  | 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: a7540c97e3b724255d5ae6db2e58f7346e8e17fa726252120c7d4f5d64a995c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32993c0c0dead7bfc1ab43114ede750fb550764342d41f87e0704f6c69d8fd9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-12-08T08:21:10Z",
    "title_canon_sha256": "79e139bc93861cb48aa04e9bc8a748cd5ebcd7afcd4bcb41fd30f32ff78a0154"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.07282",
    "kind": "arxiv",
    "version": 2
  }
}