Pith Number

pith:TNHUZLJA

pith:2022:TNHUZLJA3EC5AONHDWBJBYO6HK

not attested not anchored not stored refs pending

Double Fibrations

Dorette Pronk, Geoffrey Cruttwell, Martin Szyld, Michael Lambert

arxiv:2205.15240 v1 · 2022-05-30 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNHUZLJA3EC5AONHDWBJBYO6HK}

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	2026-07-05T04:27:25.982702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b4f4cad20d905d039a71d8290e1de3ab66616f9556e9d480b60f927a3f685f0

Aliases

arxiv: 2205.15240 · arxiv_version: 2205.15240v1 · doi: 10.48550/arxiv.2205.15240 · pith_short_12: TNHUZLJA3EC5 · pith_short_16: TNHUZLJA3EC5AONH · pith_short_8: TNHUZLJA

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/TNHUZLJA3EC5AONHDWBJBYO6HK \
  | 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: 9b4f4cad20d905d039a71d8290e1de3ab66616f9556e9d480b60f927a3f685f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "754c0d296bb226884093958c0fb7a53045d14fa56cc38c2e60efc4622148473f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2022-05-30T16:55:31Z",
    "title_canon_sha256": "7fb3f16cb71825deea02394c2b29238a4a6c17ff9882812f19fda983a7e88bd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.15240",
    "kind": "arxiv",
    "version": 1
  }
}