Pith Number

pith:H5FGDH75

pith:2014:H5FGDH757SAKB55LHCFVZAY4EZ

not attested not anchored not stored refs pending

Algebras of Open Dynamical Systems on the Operad of Wiring Diagrams

David I. Spivak, Dmitry Vagner, Eugene Lerman

arxiv:1408.1598 v2 · 2014-08-07 · math.CT · 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{H5FGDH757SAKB55LHCFVZAY4EZ}

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.

Cited by

1 paper in Pith

Compositionality of Lyapunov functions via assume-guarantee reasoning

Receipt and verification

First computed	2026-05-18T01:31:19.107453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f4a619ffdfc80a0f7ab388b5c831c267470ff447066c77dd06b0214cab3ad96

Aliases

arxiv: 1408.1598 · arxiv_version: 1408.1598v2 · doi: 10.48550/arxiv.1408.1598 · pith_short_12: H5FGDH757SAK · pith_short_16: H5FGDH757SAKB55L · pith_short_8: H5FGDH75

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/H5FGDH757SAKB55LHCFVZAY4EZ \
  | 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: 3f4a619ffdfc80a0f7ab388b5c831c267470ff447066c77dd06b0214cab3ad96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d6241d934272349da252a87810ed6dbd581eca77985a4c00377f72000772fc0",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2014-08-07T14:08:13Z",
    "title_canon_sha256": "e8037a9ed580b9c1355af5d638276a0cd50f53b27caf1874d25d6f1c99ee1d11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1598",
    "kind": "arxiv",
    "version": 2
  }
}