Pith Number

pith:KNRIQHIH

pith:2026:KNRIQHIHLBR3A6WGYQYY6MYKHD

not attested not anchored not stored refs pending

Encoding the Euler Characteristic Transform

Bastian Rieck, Elena Xinyi Wang, Lars M. Salbu, Nello Blaser, Odin Hoff Gardaa

arxiv:2606.10824 v1 · 2026-06-09 · cs.LG · 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{KNRIQHIHLBR3A6WGYQYY6MYKHD}

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	2026-06-10T01:10:42.544788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5362881d075863b07ac6c4318f330a38ce87513f79b850f9946cfc6374dd680b

Aliases

arxiv: 2606.10824 · arxiv_version: 2606.10824v1 · doi: 10.48550/arxiv.2606.10824 · pith_short_12: KNRIQHIHLBR3 · pith_short_16: KNRIQHIHLBR3A6WG · pith_short_8: KNRIQHIH

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/KNRIQHIHLBR3A6WGYQYY6MYKHD \
  | 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: 5362881d075863b07ac6c4318f330a38ce87513f79b850f9946cfc6374dd680b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd6615b0c19b7fd65242cc9afdf88cf205b12b200e78be7f584bf6b3f13fc301",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-09T13:08:23Z",
    "title_canon_sha256": "890bd8885aff5746ecce34b165a8529ac27c84335a7eff647869147e47c50a58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10824",
    "kind": "arxiv",
    "version": 1
  }
}