Pith Number

pith:RIVJRSDS

pith:2025:RIVJRSDSCO4DZXIPC5GQBZZ3YV

not attested not anchored not stored refs pending

Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review

Gunnar Carlsson, Guo-Wei Wei, Jie Wu, Layal Bou Hamdan, Vasileios Maroulas, Xiang Liu, Zhe Su

arxiv:2507.19504 v1 · 2025-07-12 · math.HO · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RIVJRSDSCO4DZXIPC5GQBZZ3YV}

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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.

Cited by

1 paper in Pith

Quantum encodings that preserve persistent homology

Receipt and verification

First computed	2026-07-05T11:44:11.660361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a2a98c87213b83cdd0f174d00e73bc57e04b9456f24e6a6705ab54d8f53c40c

Aliases

arxiv: 2507.19504 · arxiv_version: 2507.19504v1 · doi: 10.48550/arxiv.2507.19504 · pith_short_12: RIVJRSDSCO4D · pith_short_16: RIVJRSDSCO4DZXIP · pith_short_8: RIVJRSDS

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/RIVJRSDSCO4DZXIPC5GQBZZ3YV \
  | 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: 8a2a98c87213b83cdd0f174d00e73bc57e04b9456f24e6a6705ab54d8f53c40c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74ef3c44a80f30debea9246ff40bc4b766f3f2bb79f67c2a4995e075a2e9358b",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2025-07-12T16:08:11Z",
    "title_canon_sha256": "8ac60c054385de8027f964aaf08dd02543d8658917bb5dcf7c603b5950d400f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.19504",
    "kind": "arxiv",
    "version": 1
  }
}