Pith Number

pith:D3IYWPD3

pith:2019:D3IYWPD3DMGQHHSBYKF7DRABAL

not attested not anchored not stored refs pending

Analytic structures and harmonic measure at bifurcation locus

Grzegorz \'Swi\k{a}tek, Jacek Graczyk

arxiv:1904.09434 v2 · 2019-04-20 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D3IYWPD3DMGQHHSBYKF7DRABAL}

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.

Receipt and verification

First computed	2026-05-17T23:47:01.332548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ed18b3c7b1b0d039e41c28bf1c40102ee11f194b79b052afd6903a3b585b5d0

Aliases

arxiv: 1904.09434 · arxiv_version: 1904.09434v2 · doi: 10.48550/arxiv.1904.09434 · pith_short_12: D3IYWPD3DMGQ · pith_short_16: D3IYWPD3DMGQHHSB · pith_short_8: D3IYWPD3

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/D3IYWPD3DMGQHHSBYKF7DRABAL \
  | 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: 1ed18b3c7b1b0d039e41c28bf1c40102ee11f194b79b052afd6903a3b585b5d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad203afd22926fdf6a0b6e7d22170a5fb924bd241d782106437fdb8af531bd8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-04-20T11:22:19Z",
    "title_canon_sha256": "b5e6013ec118be58ea9d2ad04cd42288ffde2acc70e23428461e00add5b9d248"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09434",
    "kind": "arxiv",
    "version": 2
  }
}