Pith Number

pith:23Y36QPO

pith:2017:23Y36QPODJM5WXAMR37OUKIUM4

not attested not anchored not stored refs pending

On invariant measures associated to weakly coupled systems of Kolmogorov equations

Davide Addona, Luca Lorenzi, Luciana Angiuli

arxiv:1705.03784 v1 · 2017-05-10 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{23Y36QPODJM5WXAMR37OUKIUM4}

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	2026-05-18T00:44:43.040464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6f1bf41ee1a59db5c0c8efeea2914671c22a1ece9ed5242fc2db09e37174ea2

Aliases

arxiv: 1705.03784 · arxiv_version: 1705.03784v1 · doi: 10.48550/arxiv.1705.03784 · pith_short_12: 23Y36QPODJM5 · pith_short_16: 23Y36QPODJM5WXAM · pith_short_8: 23Y36QPO

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/23Y36QPODJM5WXAMR37OUKIUM4 \
  | 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: d6f1bf41ee1a59db5c0c8efeea2914671c22a1ece9ed5242fc2db09e37174ea2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6573a6904f963a8dba3bdc8483682c3cc37da73d7646769d73290549a1b4fe4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-10T14:06:15Z",
    "title_canon_sha256": "8377243e3dd4b79a6f73a41d4a6acbd605f46011852d1423598f3676bf901ca3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.03784",
    "kind": "arxiv",
    "version": 1
  }
}