Pith Number

pith:LOXGWUVW

pith:2022:LOXGWUVWG4RCWDQLC6V53FMJTB

not attested not anchored not stored refs pending

Approximation by interval-decomposables and interval resolutions of persistence modules

Emerson G. Escolar, Hideto Asashiba, Ken Nakashima, Michio Yoshiwaki

arxiv:2207.03663 v3 · 2022-07-08 · math.RT · 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{LOXGWUVWG4RCWDQLC6V53FMJTB}

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

Bipath Persistence as Zigzag Persistence

Receipt and verification

First computed	2026-07-05T06:18:17.053358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bae6b52b637222b0e0b17abdd95899878af546b1019603a25612a971c2c9b63

Aliases

arxiv: 2207.03663 · arxiv_version: 2207.03663v3 · doi: 10.48550/arxiv.2207.03663 · pith_short_12: LOXGWUVWG4RC · pith_short_16: LOXGWUVWG4RCWDQL · pith_short_8: LOXGWUVW

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/LOXGWUVWG4RCWDQLC6V53FMJTB \
  | 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: 5bae6b52b637222b0e0b17abdd95899878af546b1019603a25612a971c2c9b63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a41e143e44db023802d793041bd935cb654841e3a13031487021c6c41c42a61c",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2022-07-08T02:56:31Z",
    "title_canon_sha256": "4748bb2d228cd75c334cd9359f66f5fb5d7b4083e6ccef35de425bba63e5cf19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.03663",
    "kind": "arxiv",
    "version": 3
  }
}