Pith Number

pith:HS3QGK6M

pith:2024:HS3QGK6MGEPA5ACXEUTX4W2LIJ

not attested not anchored not stored refs pending

Isometry Theorem for Continuous Quiver of Type $\tilde{A}$

Minghui Zhao, Xiaowen Gao

arxiv:2412.12462 v2 · 2024-12-17 · 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{HS3QGK6MGEPA5ACXEUTX4W2LIJ}

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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

An isometry theorem for persistent homology of circle-valued functions

Receipt and verification

First computed	2026-07-05T10:09:50.675100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cb7032bcc311e0e805725277e5b4b4270cddb513ca41e6ff1dc0d0fa786bd45

Aliases

arxiv: 2412.12462 · arxiv_version: 2412.12462v2 · doi: 10.48550/arxiv.2412.12462 · pith_short_12: HS3QGK6MGEPA · pith_short_16: HS3QGK6MGEPA5ACX · pith_short_8: HS3QGK6M

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/HS3QGK6MGEPA5ACXEUTX4W2LIJ \
  | 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: 3cb7032bcc311e0e805725277e5b4b4270cddb513ca41e6ff1dc0d0fa786bd45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83e61015782f89fa8474a56e314dba434b7943acf9f46bf53a110d0a62404708",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-12-17T01:49:03Z",
    "title_canon_sha256": "3176529bc389bb8299b8efa91e3d2f629bf9a73c292988323f714f744b8144ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.12462",
    "kind": "arxiv",
    "version": 2
  }
}