Pith Number

pith:DXA56PUY

pith:2024:DXA56PUYICD6WL4FC47ZYQ5LY3

not attested not anchored not stored refs pending

Interval Multiplicities of Persistence Modules

2, (2) Osaka Central Advanced Mathematical Institute, 3), (3) Institute for Advanced Study, Enhao Liu (3) ((1) Department of Mathematics, Hideto Asashiba (1, Kyoto University), Osaka Metropolitan University, Shizuoka University

arxiv:2411.11594 v6 · 2024-11-18 · math.RT · math.AT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DXA56PUYICD6WL4FC47ZYQ5LY3}

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	2026-05-26T02:03:47.413867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dc1df3e984087eb2f85173f9c43abc6dfc9b43a0fa62fc9bdfa5b93b65b7bf6

Aliases

arxiv: 2411.11594 · arxiv_version: 2411.11594v6 · doi: 10.48550/arxiv.2411.11594 · pith_short_12: DXA56PUYICD6 · pith_short_16: DXA56PUYICD6WL4F · pith_short_8: DXA56PUY

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/DXA56PUYICD6WL4FC47ZYQ5LY3 \
  | 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: 1dc1df3e984087eb2f85173f9c43abc6dfc9b43a0fa62fc9bdfa5b93b65b7bf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30eeb70df33676a1632f5aa6c0660bb39226f402fea47bb8360dc6764602797c",
    "cross_cats_sorted": [
      "math.AT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-11-18T14:15:30Z",
    "title_canon_sha256": "aad0ecc8f81fde5a429f1ccd543bb7db18cf9340e4046e8bc3442c062c818b7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.11594",
    "kind": "arxiv",
    "version": 6
  }
}