Pith Number

pith:2Y4USP4A

pith:2022:2Y4USP4AYMGHTYIBOGAJUWQE7S

not attested not anchored not stored refs pending

On applications of Herglotz-Nevanlinna functions in material sciences, I: classical theory and applications of sum rules

Annemarie Luger, Miao-jung Yvonne Ou

arxiv:2202.13247 v1 · 2022-02-26 · math.CV · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2Y4USP4AYMGHTYIBOGAJUWQE7S}

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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

Fundamental limits in photonics and electromagnetics: a tutorial

Receipt and verification

First computed	2026-07-05T04:00:27.764463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d639493f80c30c79e10171809a5a04fc9f81e0edd655cde326c3097d2e0ddefc

Aliases

arxiv: 2202.13247 · arxiv_version: 2202.13247v1 · doi: 10.48550/arxiv.2202.13247 · pith_short_12: 2Y4USP4AYMGH · pith_short_16: 2Y4USP4AYMGHTYIB · pith_short_8: 2Y4USP4A

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/2Y4USP4AYMGHTYIBOGAJUWQE7S \
  | 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: d639493f80c30c79e10171809a5a04fc9f81e0edd655cde326c3097d2e0ddefc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecfb13e7101f4311bc998a9b209cb42762fceb0659b6d0242f6e3ba536cbbf1b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2022-02-26T22:59:37Z",
    "title_canon_sha256": "c70061f867e958eaf39c1179f1f7a88dc7b224388657cdca9321952407bca909"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.13247",
    "kind": "arxiv",
    "version": 1
  }
}