Pith Number

pith:AKZ5K7HO

pith:2026:AKZ5K7HOIE6FAYTDJ7DGT34FVE

not attested not anchored not stored refs pending

Dynamical comparison for local homeomorphisms

Julian Kranz, Shanshan Hua, Shirly Geffen

arxiv:2608.13000 v1 · 2026-08-13 · math.OA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AKZ5K7HOIE6FAYTDJ7DGT34FVE}

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	2026-08-14T01:00:05.990586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02b3d57cee413c5062634fc669ef85a92600b713f3ec93d27028978929779408

Aliases

arxiv: 2608.13000 · arxiv_version: 2608.13000v1 · doi: 10.48550/arxiv.2608.13000 · pith_short_12: AKZ5K7HOIE6F · pith_short_16: AKZ5K7HOIE6FAYTD · pith_short_8: AKZ5K7HO

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/AKZ5K7HOIE6FAYTDJ7DGT34FVE \
  | 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: 02b3d57cee413c5062634fc669ef85a92600b713f3ec93d27028978929779408

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66e739c00474b9eadf8b3b959e385be2af286c1019d9b902f28d1cd75d05bfee",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-08-13T09:22:28Z",
    "title_canon_sha256": "f30d648c3ab7c65134f3933bf9dfde48bfe3cc703cbca6cbd7de91e2f731a757"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13000",
    "kind": "arxiv",
    "version": 1
  }
}