Pith Number

pith:3XZBRKTT

pith:2015:3XZBRKTTQWLQHYEV5E2LURJXCP

not attested not anchored not stored refs pending

A fractal graph model of capillary type systems

German Zavorokhin, Sergei Nazarov, Vladimir Kozlov

arxiv:1511.05554 v2 · 2015-11-17 · math.AP · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XZBRKTTQWLQHYEV5E2LURJXCP}

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	2026-05-18T00:41:42.174398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddf218aa73859703e095e934ba453713d2d5265c34dfed076e026e523c1588fc

Aliases

arxiv: 1511.05554 · arxiv_version: 1511.05554v2 · doi: 10.48550/arxiv.1511.05554 · pith_short_12: 3XZBRKTTQWLQ · pith_short_16: 3XZBRKTTQWLQHYEV · pith_short_8: 3XZBRKTT

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/3XZBRKTTQWLQHYEV5E2LURJXCP \
  | 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: ddf218aa73859703e095e934ba453713d2d5265c34dfed076e026e523c1588fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8796a6a7819d75fb4d9ab3d2256180396be21a7db9635ebd6095ed7e45fae04a",
    "cross_cats_sorted": [
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-17T16:45:52Z",
    "title_canon_sha256": "4e0a0695aa52ecf2d0dc45f428240f43371e6bfb99ec83d66b479af6998a2cc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05554",
    "kind": "arxiv",
    "version": 2
  }
}