Pith Number

pith:QTKR3Z6E

pith:2024:QTKR3Z6EIDJ6M55W7GOVS2BSTY

not attested not anchored not stored refs pending

Bipath Persistence as Zigzag Persistence

(2) Department of Mathematics, \'Angel Javier Alonso (1), Austria, Enhao Liu (2) ((1) Institute of Geometry, Graz, Graz University of Technology, Japan), Kyoto, Kyoto University

arxiv:2501.00322 v1 · 2024-12-31 · math.AT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QTKR3Z6EIDJ6M55W7GOVS2BSTY}

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

On preservation of relative resolutions for poset representations

Receipt and verification

First computed	2026-07-05T09:55:42.841610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84d51de7c440d3e677b6f99d5968329e11dbbb968705ea3a9f52619bb99fe8af

Aliases

arxiv: 2501.00322 · arxiv_version: 2501.00322v1 · doi: 10.48550/arxiv.2501.00322 · pith_short_12: QTKR3Z6EIDJ6 · pith_short_16: QTKR3Z6EIDJ6M55W · pith_short_8: QTKR3Z6E

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/QTKR3Z6EIDJ6M55W7GOVS2BSTY \
  | 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: 84d51de7c440d3e677b6f99d5968329e11dbbb968705ea3a9f52619bb99fe8af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f3a530df922809350bed02652384d79393793a860b44cbe41efdbfa95de2aa5",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-12-31T07:40:34Z",
    "title_canon_sha256": "0fe821739d6a0596bf438e96ee4f62c5d38de5c3a3b9ace1180ee908f53cbd7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00322",
    "kind": "arxiv",
    "version": 1
  }
}