Pith Number

pith:RE4M35DM

pith:2019:RE4M35DMUARMQLRKVWNDQUTGYO

not attested not anchored not stored refs pending

Arrow Contraction and Expansion in Tropical Diagrams

Jacobus W. Portegies, Rostislav Matveev

arxiv:1905.05597 v2 · 2019-05-08 · math.PR · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RE4M35DMUARMQLRKVWNDQUTGYO}

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	2026-05-17T23:46:02.891113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8938cdf46ca022c82e2aad9a385266c3a359a4df67dbb01d47a4d221e7aeb4b7

Aliases

arxiv: 1905.05597 · arxiv_version: 1905.05597v2 · doi: 10.48550/arxiv.1905.05597 · pith_short_12: RE4M35DMUARM · pith_short_16: RE4M35DMUARMQLRK · pith_short_8: RE4M35DM

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/RE4M35DMUARMQLRKVWNDQUTGYO \
  | 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: 8938cdf46ca022c82e2aad9a385266c3a359a4df67dbb01d47a4d221e7aeb4b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20187ed9578409c81687f6d1a0cc6a5a971faf17d7c82f36a0b3c78e28c85e54",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-05-08T13:31:56Z",
    "title_canon_sha256": "6aa4751be9c25daa4dd080f9296dcdc8fa3567d2d53ceb5beff3c9567d12373b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.05597",
    "kind": "arxiv",
    "version": 2
  }
}