Pith Number

pith:PJRXI5YF

pith:2023:PJRXI5YF4FQQW3YZ5R34BAEISF

not attested not anchored not stored refs pending

Grassmannian Persistence Diagrams

Aziz Burak G\"ulen, Facundo M\'emoli, Zhengchao Wan

arxiv:2311.06870 v5 · 2023-11-12 · math.CO · 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{PJRXI5YF4FQQW3YZ5R34BAEISF}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T10:54:30.836412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a63747705e1610b6f19ec77c0808891772ee1bf111a49533addd1863f892f83

Aliases

arxiv: 2311.06870 · arxiv_version: 2311.06870v5 · doi: 10.48550/arxiv.2311.06870 · pith_short_12: PJRXI5YF4FQQ · pith_short_16: PJRXI5YF4FQQW3YZ · pith_short_8: PJRXI5YF

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/PJRXI5YF4FQQW3YZ5R34BAEISF \
  | 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: 7a63747705e1610b6f19ec77c0808891772ee1bf111a49533addd1863f892f83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d89dec7d5e4e15d7be0031bcaf706ba8a4eeeb581baa47288fe14fbcebd8a559",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-11-12T15:03:25Z",
    "title_canon_sha256": "e1bd8475d209fd0ed8e6b4fd6de3fa5ba503e37f45d0bdee6f5bfe2f7bea086e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.06870",
    "kind": "arxiv",
    "version": 5
  }
}