Pith Number

pith:VOG2D2OE

pith:2025:VOG2D2OEXZEMRLEYIHGSXLMK2K

not attested not anchored not stored refs pending

Persistent cohomology operations and Gromov-Hausdorff estimates

Anibal M.Medina-Mardones, Ling Zhou

arxiv:2503.17130 v2 · 2025-03-21 · 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{VOG2D2OEXZEMRLEYIHGSXLMK2K}

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

3 papers in Pith

Quantum encodings that preserve persistent homology

An Algebraic Introduction to Persistence

A continuum of K\"unneth theorems for persistence modules

Receipt and verification

First computed	2026-07-05T10:39:27.949945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab8da1e9c4be48c8ac9841cd2bad8ad29a7023f11eb732982230247b8a78a1b6

Aliases

arxiv: 2503.17130 · arxiv_version: 2503.17130v2 · doi: 10.48550/arxiv.2503.17130 · pith_short_12: VOG2D2OEXZEM · pith_short_16: VOG2D2OEXZEMRLEY · pith_short_8: VOG2D2OE

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/VOG2D2OEXZEMRLEYIHGSXLMK2K \
  | 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: ab8da1e9c4be48c8ac9841cd2bad8ad29a7023f11eb732982230247b8a78a1b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32ee6a2676a33e474df7b8371c35bcf3ff994787e2399b8c1698710055226697",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-03-21T13:28:22Z",
    "title_canon_sha256": "ad3178abcfad784aa5abf2608f885b3f9944ede0d28462c538b1e4fd5c264e18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.17130",
    "kind": "arxiv",
    "version": 2
  }
}