Pith Number

pith:BKUMYJGT

pith:2015:BKUMYJGTTSWCKMHPDPKMOGVQX3

not attested not anchored not stored refs pending

Lyapounov Functions of closed Cone Fields: from Conley Theory to Time Functions

Patrick Bernard, Stefan Suhr

arxiv:1512.08410 v3 · 2015-12-28 · math.DG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKUMYJGTTSWCKMHPDPKMOGVQX3}

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	2026-05-18T00:18:36.480540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aa8cc24d39cac2530ef1bd4c71ab0bee26d347116ec320e6bb7ff97613bc90b

Aliases

arxiv: 1512.08410 · arxiv_version: 1512.08410v3 · doi: 10.48550/arxiv.1512.08410 · pith_short_12: BKUMYJGTTSWC · pith_short_16: BKUMYJGTTSWCKMHP · pith_short_8: BKUMYJGT

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/BKUMYJGTTSWCKMHPDPKMOGVQX3 \
  | 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: 0aa8cc24d39cac2530ef1bd4c71ab0bee26d347116ec320e6bb7ff97613bc90b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35538297650bb0acd88f2b5065aa523fd85a51f05808125f4c6c78ff31042a4c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-12-28T13:43:11Z",
    "title_canon_sha256": "bb21ec8d51116f813c0aec9ccaae231f62f88820b7d3491b02ae04dbe04d5eef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08410",
    "kind": "arxiv",
    "version": 3
  }
}