Pith Number

pith:66TUN7UN

pith:2024:66TUN7UNXX2KZGYFFT6S273X76

not attested not anchored not stored refs pending

Tranched graphs: consequences for topology and dynamics

Micha{\l} Kowalewski, Piotr Oprocha

arxiv:2405.05407 v3 · 2024-05-08 · math.GN · 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{66TUN7UNXX2KZGYFFT6S273X76}

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	2026-05-20T00:05:25.307611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7a746fe8dbdf4ac9b052cfd2d7f77ff803e7c57ce72d67a274be1b5223c713f

Aliases

arxiv: 2405.05407 · arxiv_version: 2405.05407v3 · doi: 10.48550/arxiv.2405.05407 · pith_short_12: 66TUN7UNXX2K · pith_short_16: 66TUN7UNXX2KZGYF · pith_short_8: 66TUN7UN

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/66TUN7UNXX2KZGYFFT6S273X76 \
  | 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: f7a746fe8dbdf4ac9b052cfd2d7f77ff803e7c57ce72d67a274be1b5223c713f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f76a7d816f8eda3ceda077d35713086798a6d7389ae9ed35f6957a74f531c6d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2024-05-08T20:21:42Z",
    "title_canon_sha256": "6a11fb6403988b4850d2aea50824275ffa66e4fc8b7ffb88ef5ec8e84bbef611"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.05407",
    "kind": "arxiv",
    "version": 3
  }
}