Pith Number

pith:QU3KFOZU

pith:2022:QU3KFOZUJNDQCU3SDUPJV5R2XF

not attested not anchored not stored refs pending

Loewner Theory for Bernstein functions I: evolution families and differential equations

Jos\'e-Luis P\'erez, Pavel Gumenyuk, Takahiro Hasebe

arxiv:2206.04753 v4 · 2022-06-09 · math.CV · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QU3KFOZUJNDQCU3SDUPJV5R2XF}

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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

Two-type continuous-state branching processes in varying environments

Receipt and verification

First computed	2026-07-05T05:55:09.459762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8536a2bb344b470153721d1e9af63ab97505ac8b91ca12f41253be077eafd3f9

Aliases

arxiv: 2206.04753 · arxiv_version: 2206.04753v4 · doi: 10.48550/arxiv.2206.04753 · pith_short_12: QU3KFOZUJNDQ · pith_short_16: QU3KFOZUJNDQCU3S · pith_short_8: QU3KFOZU

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/QU3KFOZUJNDQCU3SDUPJV5R2XF \
  | 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: 8536a2bb344b470153721d1e9af63ab97505ac8b91ca12f41253be077eafd3f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15931780f4e540b1512d907dd4daf465023d22038ffe4e22f7e6e4a7aa7a0aa8",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2022-06-09T20:22:12Z",
    "title_canon_sha256": "e6f967c599a384ab190141fa35fe9a2cde1b28b9cdb463a15a9cafce81e6b153"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.04753",
    "kind": "arxiv",
    "version": 4
  }
}