Pith Number

pith:R5UW7JID

pith:2016:R5UW7JIDRU2OQYYNFZEKI7UP7E

not attested not anchored not stored refs pending

Path-Complete Graphs and Common Lyapunov Functions

David Angeli, Matthew Philippe, Nikolaos Athanasopoulos, Rapha\"el M. Jungers

arxiv:1612.03983 v1 · 2016-12-13 · 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{R5UW7JIDRU2OQYYNFZEKI7UP7E}

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	2026-05-18T00:55:05.946355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f696fa5038d34e8630d2e48a47e8ff90ad347819ccdc662cd0d09afe0d5dc1f

Aliases

arxiv: 1612.03983 · arxiv_version: 1612.03983v1 · doi: 10.48550/arxiv.1612.03983 · pith_short_12: R5UW7JIDRU2O · pith_short_16: R5UW7JIDRU2OQYYN · pith_short_8: R5UW7JID

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/R5UW7JIDRU2OQYYNFZEKI7UP7E \
  | 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: 8f696fa5038d34e8630d2e48a47e8ff90ad347819ccdc662cd0d09afe0d5dc1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8d5499ded450f81dec337d5dac35fe8dfa71fd88a882587e17b355ab3dfcf4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-13T00:23:18Z",
    "title_canon_sha256": "58486d8e2b264e2ec6b78c445758b5bdc748d0376b4b6279a9943fa2ded85582"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03983",
    "kind": "arxiv",
    "version": 1
  }
}