Pith Number

pith:J5DLTPZ7

pith:2023:J5DLTPZ7DKXXPWI3ZF6MXBVHKT

not attested not anchored not stored refs pending

Spectral Metric and Einstein Functionals for Hodge-Dirac operator

Andrzej Sitarz, Ludwik D\k{a}browski, Pawe{\l} Zalecki

arxiv:2307.14877 v3 · 2023-07-27 · math.DG · math-ph · math.MP · math.QA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J5DLTPZ7DKXXPWI3ZF6MXBVHKT}

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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

On Geometric Spectral Functionals

Receipt and verification

First computed	2026-07-05T08:57:22.539120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f46b9bf3f1aaf77d91bc97ccb86a754d64ebc434289ffaa8ece2ec095e9e9c7

Aliases

arxiv: 2307.14877 · arxiv_version: 2307.14877v3 · doi: 10.48550/arxiv.2307.14877 · pith_short_12: J5DLTPZ7DKXX · pith_short_16: J5DLTPZ7DKXXPWI3 · pith_short_8: J5DLTPZ7

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/J5DLTPZ7DKXXPWI3ZF6MXBVHKT \
  | 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: 4f46b9bf3f1aaf77d91bc97ccb86a754d64ebc434289ffaa8ece2ec095e9e9c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52e0bd4e8feac290af6b376cefe50bc61a8ad56b2456340b7d2934b07e4dbe2a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-07-27T14:07:58Z",
    "title_canon_sha256": "eeb200c24087d93cecbea8b060d76f4f606fc24faa475cd1492547c3430732a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.14877",
    "kind": "arxiv",
    "version": 3
  }
}